Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces

The fractional operator on nonhomogeneous metric measure spaces is introduced, which is a bounded operator from Lpμ into the space Lq,∞μ. Moreover, the Lipschitz spaces on nonhomogeneous metric measure spaces are also introduced, which contain the classical Lipschitz spaces. The authors establish so...
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Gespeichert in:

Autor*in:	Jiang Zhou [verfasserIn] Dinghuai Wang [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2014

Übergeordnetes Werk:	In: Abstract and Applied Analysis - Hindawi Limited, 2006, (2014)
Übergeordnetes Werk:	year:2014

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc Journal toc

DOI / URN:	10.1155/2014/174010

Katalog-ID:	DOAJ001852930

Internformat


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allfields	10.1155/2014/174010 doi (DE-627)DOAJ001852930 (DE-599)DOAJc7b3ad321904423b9c244b445002fdcf DE-627 ger DE-627 rakwb eng QA1-939 Jiang Zhou verfasserin aut Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The fractional operator on nonhomogeneous metric measure spaces is introduced, which is a bounded operator from Lpμ into the space Lq,∞μ. Moreover, the Lipschitz spaces on nonhomogeneous metric measure spaces are also introduced, which contain the classical Lipschitz spaces. The authors establish some equivalent characterizations for the Lipschitz spaces, and some results of the boundedness of fractional operator in Lipschitz spaces are also presented. Mathematics Dinghuai Wang verfasserin aut In Abstract and Applied Analysis Hindawi Limited, 2006 (2014) (DE-627)33877002X (DE-600)2064801-7 16870409 nnns year:2014 https://doi.org/10.1155/2014/174010 kostenfrei https://doaj.org/article/c7b3ad321904423b9c244b445002fdcf kostenfrei http://dx.doi.org/10.1155/2014/174010 kostenfrei https://doaj.org/toc/1085-3375 Journal toc kostenfrei https://doaj.org/toc/1687-0409 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2014
spelling	10.1155/2014/174010 doi (DE-627)DOAJ001852930 (DE-599)DOAJc7b3ad321904423b9c244b445002fdcf DE-627 ger DE-627 rakwb eng QA1-939 Jiang Zhou verfasserin aut Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The fractional operator on nonhomogeneous metric measure spaces is introduced, which is a bounded operator from Lpμ into the space Lq,∞μ. Moreover, the Lipschitz spaces on nonhomogeneous metric measure spaces are also introduced, which contain the classical Lipschitz spaces. The authors establish some equivalent characterizations for the Lipschitz spaces, and some results of the boundedness of fractional operator in Lipschitz spaces are also presented. Mathematics Dinghuai Wang verfasserin aut In Abstract and Applied Analysis Hindawi Limited, 2006 (2014) (DE-627)33877002X (DE-600)2064801-7 16870409 nnns year:2014 https://doi.org/10.1155/2014/174010 kostenfrei https://doaj.org/article/c7b3ad321904423b9c244b445002fdcf kostenfrei http://dx.doi.org/10.1155/2014/174010 kostenfrei https://doaj.org/toc/1085-3375 Journal toc kostenfrei https://doaj.org/toc/1687-0409 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2014
allfields_unstemmed	10.1155/2014/174010 doi (DE-627)DOAJ001852930 (DE-599)DOAJc7b3ad321904423b9c244b445002fdcf DE-627 ger DE-627 rakwb eng QA1-939 Jiang Zhou verfasserin aut Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The fractional operator on nonhomogeneous metric measure spaces is introduced, which is a bounded operator from Lpμ into the space Lq,∞μ. Moreover, the Lipschitz spaces on nonhomogeneous metric measure spaces are also introduced, which contain the classical Lipschitz spaces. The authors establish some equivalent characterizations for the Lipschitz spaces, and some results of the boundedness of fractional operator in Lipschitz spaces are also presented. Mathematics Dinghuai Wang verfasserin aut In Abstract and Applied Analysis Hindawi Limited, 2006 (2014) (DE-627)33877002X (DE-600)2064801-7 16870409 nnns year:2014 https://doi.org/10.1155/2014/174010 kostenfrei https://doaj.org/article/c7b3ad321904423b9c244b445002fdcf kostenfrei http://dx.doi.org/10.1155/2014/174010 kostenfrei https://doaj.org/toc/1085-3375 Journal toc kostenfrei https://doaj.org/toc/1687-0409 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2014
allfieldsGer	10.1155/2014/174010 doi (DE-627)DOAJ001852930 (DE-599)DOAJc7b3ad321904423b9c244b445002fdcf DE-627 ger DE-627 rakwb eng QA1-939 Jiang Zhou verfasserin aut Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The fractional operator on nonhomogeneous metric measure spaces is introduced, which is a bounded operator from Lpμ into the space Lq,∞μ. Moreover, the Lipschitz spaces on nonhomogeneous metric measure spaces are also introduced, which contain the classical Lipschitz spaces. The authors establish some equivalent characterizations for the Lipschitz spaces, and some results of the boundedness of fractional operator in Lipschitz spaces are also presented. Mathematics Dinghuai Wang verfasserin aut In Abstract and Applied Analysis Hindawi Limited, 2006 (2014) (DE-627)33877002X (DE-600)2064801-7 16870409 nnns year:2014 https://doi.org/10.1155/2014/174010 kostenfrei https://doaj.org/article/c7b3ad321904423b9c244b445002fdcf kostenfrei http://dx.doi.org/10.1155/2014/174010 kostenfrei https://doaj.org/toc/1085-3375 Journal toc kostenfrei https://doaj.org/toc/1687-0409 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2014
allfieldsSound	10.1155/2014/174010 doi (DE-627)DOAJ001852930 (DE-599)DOAJc7b3ad321904423b9c244b445002fdcf DE-627 ger DE-627 rakwb eng QA1-939 Jiang Zhou verfasserin aut Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The fractional operator on nonhomogeneous metric measure spaces is introduced, which is a bounded operator from Lpμ into the space Lq,∞μ. Moreover, the Lipschitz spaces on nonhomogeneous metric measure spaces are also introduced, which contain the classical Lipschitz spaces. The authors establish some equivalent characterizations for the Lipschitz spaces, and some results of the boundedness of fractional operator in Lipschitz spaces are also presented. Mathematics Dinghuai Wang verfasserin aut In Abstract and Applied Analysis Hindawi Limited, 2006 (2014) (DE-627)33877002X (DE-600)2064801-7 16870409 nnns year:2014 https://doi.org/10.1155/2014/174010 kostenfrei https://doaj.org/article/c7b3ad321904423b9c244b445002fdcf kostenfrei http://dx.doi.org/10.1155/2014/174010 kostenfrei https://doaj.org/toc/1085-3375 Journal toc kostenfrei https://doaj.org/toc/1687-0409 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2014
language	English
source	In Abstract and Applied Analysis (2014) year:2014
sourceStr	In Abstract and Applied Analysis (2014) year:2014
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Mathematics
isfreeaccess_bool	true
container_title	Abstract and Applied Analysis
authorswithroles_txt_mv	Jiang Zhou @@aut@@ Dinghuai Wang @@aut@@
publishDateDaySort_date	2014-01-01T00:00:00Z
hierarchy_top_id	33877002X
id	DOAJ001852930
language_de	englisch
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callnumber-first	Q - Science
author	Jiang Zhou
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topic_title	QA1-939 Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces
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title	Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces
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title_full	Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces
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title_sort	lipschitz spaces and fractional integral operators associated with nonhomogeneous metric measure spaces
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title_auth	Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces
abstract	The fractional operator on nonhomogeneous metric measure spaces is introduced, which is a bounded operator from Lpμ into the space Lq,∞μ. Moreover, the Lipschitz spaces on nonhomogeneous metric measure spaces are also introduced, which contain the classical Lipschitz spaces. The authors establish some equivalent characterizations for the Lipschitz spaces, and some results of the boundedness of fractional operator in Lipschitz spaces are also presented.
abstractGer	The fractional operator on nonhomogeneous metric measure spaces is introduced, which is a bounded operator from Lpμ into the space Lq,∞μ. Moreover, the Lipschitz spaces on nonhomogeneous metric measure spaces are also introduced, which contain the classical Lipschitz spaces. The authors establish some equivalent characterizations for the Lipschitz spaces, and some results of the boundedness of fractional operator in Lipschitz spaces are also presented.
abstract_unstemmed	The fractional operator on nonhomogeneous metric measure spaces is introduced, which is a bounded operator from Lpμ into the space Lq,∞μ. Moreover, the Lipschitz spaces on nonhomogeneous metric measure spaces are also introduced, which contain the classical Lipschitz spaces. The authors establish some equivalent characterizations for the Lipschitz spaces, and some results of the boundedness of fractional operator in Lipschitz spaces are also presented.
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title_short	Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces
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score	7.3994513

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Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces

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