Extremal ω-plurisubharmonic functions as envelopes of disc functionals

Abstract For each closed, positive (1,1)-current ω on a complex manifold X and each ω-upper semicontinuous function φ on X we associate a disc functional and prove that its envelope is equal to the supremum of all ω-plurisubharmonic functions dominated by φ. This is done by reducing to the case wher...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Magnússon, Benedikt Steinar [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2010

Schlagwörter:	Complex Manifold Local Potential Plurisubharmonic Function Riesz Potential Reduction Theorem

Anmerkung:	© Institut Mittag-Leffler 2010

Übergeordnetes Werk:	Enthalten in: Arkiv för matematik - Somerville, Mass. : International Press, 1949, 49(2010), 2 vom: 22. Sept., Seite 383-399
Übergeordnetes Werk:	volume:49 ; year:2010 ; number:2 ; day:22 ; month:09 ; pages:383-399

Links:	Volltext

DOI / URN:	10.1007/s11512-010-0128-y

Katalog-ID:	SPR020481233

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520			\|a Abstract For each closed, positive (1,1)-current ω on a complex manifold X and each ω-upper semicontinuous function φ on X we associate a disc functional and prove that its envelope is equal to the supremum of all ω-plurisubharmonic functions dominated by φ. This is done by reducing to the case where ω has a global potential. Then the result follows from Poletsky’s theorem, which is the special case ω=0. Applications of this result include a formula for the relative extremal function of an open set in X and, in some cases, a description of the ω-polynomial hull of a set.
650		4	\|a Complex Manifold \|7 (dpeaa)DE-He213
650		4	\|a Local Potential \|7 (dpeaa)DE-He213
650		4	\|a Plurisubharmonic Function \|7 (dpeaa)DE-He213
650		4	\|a Riesz Potential \|7 (dpeaa)DE-He213
650		4	\|a Reduction Theorem \|7 (dpeaa)DE-He213
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773	1	8	\|g volume:49 \|g year:2010 \|g number:2 \|g day:22 \|g month:09 \|g pages:383-399
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912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
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912			\|a GBV_ILN_602
912			\|a GBV_ILN_702
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912			\|a GBV_ILN_4328
912			\|a GBV_ILN_4333
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4367
912			\|a GBV_ILN_4700
951			\|a AR
952			\|d 49 \|j 2010 \|e 2 \|b 22 \|c 09 \|h 383-399

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publishDate	2010
allfields	10.1007/s11512-010-0128-y doi (DE-627)SPR020481233 (SPR)s11512-010-0128-y-e DE-627 ger DE-627 rakwb eng Magnússon, Benedikt Steinar verfasserin aut Extremal ω-plurisubharmonic functions as envelopes of disc functionals 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Institut Mittag-Leffler 2010 Abstract For each closed, positive (1,1)-current ω on a complex manifold X and each ω-upper semicontinuous function φ on X we associate a disc functional and prove that its envelope is equal to the supremum of all ω-plurisubharmonic functions dominated by φ. This is done by reducing to the case where ω has a global potential. Then the result follows from Poletsky’s theorem, which is the special case ω=0. Applications of this result include a formula for the relative extremal function of an open set in X and, in some cases, a description of the ω-polynomial hull of a set. Complex Manifold (dpeaa)DE-He213 Local Potential (dpeaa)DE-He213 Plurisubharmonic Function (dpeaa)DE-He213 Riesz Potential (dpeaa)DE-He213 Reduction Theorem (dpeaa)DE-He213 Enthalten in Arkiv för matematik Somerville, Mass. : International Press, 1949 49(2010), 2 vom: 22. Sept., Seite 383-399 (DE-627)366028979 (DE-600)2113040-1 1871-2487 nnns volume:49 year:2010 number:2 day:22 month:09 pages:383-399 https://dx.doi.org/10.1007/s11512-010-0128-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 49 2010 2 22 09 383-399
spelling	10.1007/s11512-010-0128-y doi (DE-627)SPR020481233 (SPR)s11512-010-0128-y-e DE-627 ger DE-627 rakwb eng Magnússon, Benedikt Steinar verfasserin aut Extremal ω-plurisubharmonic functions as envelopes of disc functionals 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Institut Mittag-Leffler 2010 Abstract For each closed, positive (1,1)-current ω on a complex manifold X and each ω-upper semicontinuous function φ on X we associate a disc functional and prove that its envelope is equal to the supremum of all ω-plurisubharmonic functions dominated by φ. This is done by reducing to the case where ω has a global potential. Then the result follows from Poletsky’s theorem, which is the special case ω=0. Applications of this result include a formula for the relative extremal function of an open set in X and, in some cases, a description of the ω-polynomial hull of a set. Complex Manifold (dpeaa)DE-He213 Local Potential (dpeaa)DE-He213 Plurisubharmonic Function (dpeaa)DE-He213 Riesz Potential (dpeaa)DE-He213 Reduction Theorem (dpeaa)DE-He213 Enthalten in Arkiv för matematik Somerville, Mass. : International Press, 1949 49(2010), 2 vom: 22. Sept., Seite 383-399 (DE-627)366028979 (DE-600)2113040-1 1871-2487 nnns volume:49 year:2010 number:2 day:22 month:09 pages:383-399 https://dx.doi.org/10.1007/s11512-010-0128-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 49 2010 2 22 09 383-399
allfields_unstemmed	10.1007/s11512-010-0128-y doi (DE-627)SPR020481233 (SPR)s11512-010-0128-y-e DE-627 ger DE-627 rakwb eng Magnússon, Benedikt Steinar verfasserin aut Extremal ω-plurisubharmonic functions as envelopes of disc functionals 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Institut Mittag-Leffler 2010 Abstract For each closed, positive (1,1)-current ω on a complex manifold X and each ω-upper semicontinuous function φ on X we associate a disc functional and prove that its envelope is equal to the supremum of all ω-plurisubharmonic functions dominated by φ. This is done by reducing to the case where ω has a global potential. Then the result follows from Poletsky’s theorem, which is the special case ω=0. Applications of this result include a formula for the relative extremal function of an open set in X and, in some cases, a description of the ω-polynomial hull of a set. Complex Manifold (dpeaa)DE-He213 Local Potential (dpeaa)DE-He213 Plurisubharmonic Function (dpeaa)DE-He213 Riesz Potential (dpeaa)DE-He213 Reduction Theorem (dpeaa)DE-He213 Enthalten in Arkiv för matematik Somerville, Mass. : International Press, 1949 49(2010), 2 vom: 22. Sept., Seite 383-399 (DE-627)366028979 (DE-600)2113040-1 1871-2487 nnns volume:49 year:2010 number:2 day:22 month:09 pages:383-399 https://dx.doi.org/10.1007/s11512-010-0128-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 49 2010 2 22 09 383-399
allfieldsGer	10.1007/s11512-010-0128-y doi (DE-627)SPR020481233 (SPR)s11512-010-0128-y-e DE-627 ger DE-627 rakwb eng Magnússon, Benedikt Steinar verfasserin aut Extremal ω-plurisubharmonic functions as envelopes of disc functionals 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Institut Mittag-Leffler 2010 Abstract For each closed, positive (1,1)-current ω on a complex manifold X and each ω-upper semicontinuous function φ on X we associate a disc functional and prove that its envelope is equal to the supremum of all ω-plurisubharmonic functions dominated by φ. This is done by reducing to the case where ω has a global potential. Then the result follows from Poletsky’s theorem, which is the special case ω=0. Applications of this result include a formula for the relative extremal function of an open set in X and, in some cases, a description of the ω-polynomial hull of a set. Complex Manifold (dpeaa)DE-He213 Local Potential (dpeaa)DE-He213 Plurisubharmonic Function (dpeaa)DE-He213 Riesz Potential (dpeaa)DE-He213 Reduction Theorem (dpeaa)DE-He213 Enthalten in Arkiv för matematik Somerville, Mass. : International Press, 1949 49(2010), 2 vom: 22. Sept., Seite 383-399 (DE-627)366028979 (DE-600)2113040-1 1871-2487 nnns volume:49 year:2010 number:2 day:22 month:09 pages:383-399 https://dx.doi.org/10.1007/s11512-010-0128-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 49 2010 2 22 09 383-399
allfieldsSound	10.1007/s11512-010-0128-y doi (DE-627)SPR020481233 (SPR)s11512-010-0128-y-e DE-627 ger DE-627 rakwb eng Magnússon, Benedikt Steinar verfasserin aut Extremal ω-plurisubharmonic functions as envelopes of disc functionals 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Institut Mittag-Leffler 2010 Abstract For each closed, positive (1,1)-current ω on a complex manifold X and each ω-upper semicontinuous function φ on X we associate a disc functional and prove that its envelope is equal to the supremum of all ω-plurisubharmonic functions dominated by φ. This is done by reducing to the case where ω has a global potential. Then the result follows from Poletsky’s theorem, which is the special case ω=0. Applications of this result include a formula for the relative extremal function of an open set in X and, in some cases, a description of the ω-polynomial hull of a set. Complex Manifold (dpeaa)DE-He213 Local Potential (dpeaa)DE-He213 Plurisubharmonic Function (dpeaa)DE-He213 Riesz Potential (dpeaa)DE-He213 Reduction Theorem (dpeaa)DE-He213 Enthalten in Arkiv för matematik Somerville, Mass. : International Press, 1949 49(2010), 2 vom: 22. Sept., Seite 383-399 (DE-627)366028979 (DE-600)2113040-1 1871-2487 nnns volume:49 year:2010 number:2 day:22 month:09 pages:383-399 https://dx.doi.org/10.1007/s11512-010-0128-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2055 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 49 2010 2 22 09 383-399
language	English
source	Enthalten in Arkiv för matematik 49(2010), 2 vom: 22. Sept., Seite 383-399 volume:49 year:2010 number:2 day:22 month:09 pages:383-399
sourceStr	Enthalten in Arkiv för matematik 49(2010), 2 vom: 22. Sept., Seite 383-399 volume:49 year:2010 number:2 day:22 month:09 pages:383-399
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Complex Manifold Local Potential Plurisubharmonic Function Riesz Potential Reduction Theorem
isfreeaccess_bool	false
container_title	Arkiv för matematik
authorswithroles_txt_mv	Magnússon, Benedikt Steinar @@aut@@
publishDateDaySort_date	2010-09-22T00:00:00Z
hierarchy_top_id	366028979
id	SPR020481233
language_de	englisch
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author	Magnússon, Benedikt Steinar
spellingShingle	Magnússon, Benedikt Steinar misc Complex Manifold misc Local Potential misc Plurisubharmonic Function misc Riesz Potential misc Reduction Theorem Extremal ω-plurisubharmonic functions as envelopes of disc functionals
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topic_title	Extremal ω-plurisubharmonic functions as envelopes of disc functionals Complex Manifold (dpeaa)DE-He213 Local Potential (dpeaa)DE-He213 Plurisubharmonic Function (dpeaa)DE-He213 Riesz Potential (dpeaa)DE-He213 Reduction Theorem (dpeaa)DE-He213
topic	misc Complex Manifold misc Local Potential misc Plurisubharmonic Function misc Riesz Potential misc Reduction Theorem
topic_unstemmed	misc Complex Manifold misc Local Potential misc Plurisubharmonic Function misc Riesz Potential misc Reduction Theorem
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title	Extremal ω-plurisubharmonic functions as envelopes of disc functionals
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title_full	Extremal ω-plurisubharmonic functions as envelopes of disc functionals
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title_sort	extremal ω-plurisubharmonic functions as envelopes of disc functionals
title_auth	Extremal ω-plurisubharmonic functions as envelopes of disc functionals
abstract	Abstract For each closed, positive (1,1)-current ω on a complex manifold X and each ω-upper semicontinuous function φ on X we associate a disc functional and prove that its envelope is equal to the supremum of all ω-plurisubharmonic functions dominated by φ. This is done by reducing to the case where ω has a global potential. Then the result follows from Poletsky’s theorem, which is the special case ω=0. Applications of this result include a formula for the relative extremal function of an open set in X and, in some cases, a description of the ω-polynomial hull of a set. © Institut Mittag-Leffler 2010
abstractGer	Abstract For each closed, positive (1,1)-current ω on a complex manifold X and each ω-upper semicontinuous function φ on X we associate a disc functional and prove that its envelope is equal to the supremum of all ω-plurisubharmonic functions dominated by φ. This is done by reducing to the case where ω has a global potential. Then the result follows from Poletsky’s theorem, which is the special case ω=0. Applications of this result include a formula for the relative extremal function of an open set in X and, in some cases, a description of the ω-polynomial hull of a set. © Institut Mittag-Leffler 2010
abstract_unstemmed	Abstract For each closed, positive (1,1)-current ω on a complex manifold X and each ω-upper semicontinuous function φ on X we associate a disc functional and prove that its envelope is equal to the supremum of all ω-plurisubharmonic functions dominated by φ. This is done by reducing to the case where ω has a global potential. Then the result follows from Poletsky’s theorem, which is the special case ω=0. Applications of this result include a formula for the relative extremal function of an open set in X and, in some cases, a description of the ω-polynomial hull of a set. © Institut Mittag-Leffler 2010
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title_short	Extremal ω-plurisubharmonic functions as envelopes of disc functionals
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Extremal ω-plurisubharmonic functions as envelopes of disc functionals

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