Non-compact embeddings of Sobolev spaces
The paper deals with the embedding of a first-order Sobolev space in a Lebesgue space on a bounded open set, and gives an example in which the embedding is not strictly singular. The same is shown to hold when the open set is an infinite strip.
Autor*in: |
Edmunds, D.E. [verfasserIn] Lang, J. [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2022 |
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Schlagwörter: |
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Übergeordnetes Werk: |
Enthalten in: Journal of approximation theory - Amsterdam [u.a.] : Elsevier, 1968, 286 |
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Übergeordnetes Werk: |
volume:286 |
DOI / URN: |
10.1016/j.jat.2022.105848 |
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Katalog-ID: |
ELV00901876X |
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520 | |a The paper deals with the embedding of a first-order Sobolev space in a Lebesgue space on a bounded open set, and gives an example in which the embedding is not strictly singular. The same is shown to hold when the open set is an infinite strip. | ||
650 | 4 | |a Sobolev embedding | |
650 | 4 | |a Non-compact map | |
650 | 4 | |a Strictly singular map | |
650 | 4 | |a Finitely strictly singular map | |
650 | 4 | |a Bernstein numbers | |
700 | 1 | |a Lang, J. |e verfasserin |0 (orcid)0000-0003-1582-7273 |4 aut | |
773 | 0 | 8 | |i Enthalten in |t Journal of approximation theory |d Amsterdam [u.a.] : Elsevier, 1968 |g 286 |h Online-Ressource |w (DE-627)266890598 |w (DE-600)1468964-9 |w (DE-576)103373136 |7 nnns |
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912 | |a GBV_ILN_2152 | ||
912 | |a GBV_ILN_2153 | ||
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912 | |a GBV_ILN_2507 | ||
912 | |a GBV_ILN_2522 | ||
912 | |a GBV_ILN_4012 | ||
912 | |a GBV_ILN_4035 | ||
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10.1016/j.jat.2022.105848 doi (DE-627)ELV00901876X (ELSEVIER)S0021-9045(22)00120-4 DE-627 ger DE-627 rda eng 510 DE-600 31.40 bkl Edmunds, D.E. verfasserin aut Non-compact embeddings of Sobolev spaces 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The paper deals with the embedding of a first-order Sobolev space in a Lebesgue space on a bounded open set, and gives an example in which the embedding is not strictly singular. The same is shown to hold when the open set is an infinite strip. Sobolev embedding Non-compact map Strictly singular map Finitely strictly singular map Bernstein numbers Lang, J. verfasserin (orcid)0000-0003-1582-7273 aut Enthalten in Journal of approximation theory Amsterdam [u.a.] : Elsevier, 1968 286 Online-Ressource (DE-627)266890598 (DE-600)1468964-9 (DE-576)103373136 nnns volume:286 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 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_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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.40 Analysis: Allgemeines AR 286 |
spelling |
10.1016/j.jat.2022.105848 doi (DE-627)ELV00901876X (ELSEVIER)S0021-9045(22)00120-4 DE-627 ger DE-627 rda eng 510 DE-600 31.40 bkl Edmunds, D.E. verfasserin aut Non-compact embeddings of Sobolev spaces 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The paper deals with the embedding of a first-order Sobolev space in a Lebesgue space on a bounded open set, and gives an example in which the embedding is not strictly singular. The same is shown to hold when the open set is an infinite strip. Sobolev embedding Non-compact map Strictly singular map Finitely strictly singular map Bernstein numbers Lang, J. verfasserin (orcid)0000-0003-1582-7273 aut Enthalten in Journal of approximation theory Amsterdam [u.a.] : Elsevier, 1968 286 Online-Ressource (DE-627)266890598 (DE-600)1468964-9 (DE-576)103373136 nnns volume:286 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 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_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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.40 Analysis: Allgemeines AR 286 |
allfields_unstemmed |
10.1016/j.jat.2022.105848 doi (DE-627)ELV00901876X (ELSEVIER)S0021-9045(22)00120-4 DE-627 ger DE-627 rda eng 510 DE-600 31.40 bkl Edmunds, D.E. verfasserin aut Non-compact embeddings of Sobolev spaces 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The paper deals with the embedding of a first-order Sobolev space in a Lebesgue space on a bounded open set, and gives an example in which the embedding is not strictly singular. The same is shown to hold when the open set is an infinite strip. Sobolev embedding Non-compact map Strictly singular map Finitely strictly singular map Bernstein numbers Lang, J. verfasserin (orcid)0000-0003-1582-7273 aut Enthalten in Journal of approximation theory Amsterdam [u.a.] : Elsevier, 1968 286 Online-Ressource (DE-627)266890598 (DE-600)1468964-9 (DE-576)103373136 nnns volume:286 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 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_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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.40 Analysis: Allgemeines AR 286 |
allfieldsGer |
10.1016/j.jat.2022.105848 doi (DE-627)ELV00901876X (ELSEVIER)S0021-9045(22)00120-4 DE-627 ger DE-627 rda eng 510 DE-600 31.40 bkl Edmunds, D.E. verfasserin aut Non-compact embeddings of Sobolev spaces 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The paper deals with the embedding of a first-order Sobolev space in a Lebesgue space on a bounded open set, and gives an example in which the embedding is not strictly singular. The same is shown to hold when the open set is an infinite strip. Sobolev embedding Non-compact map Strictly singular map Finitely strictly singular map Bernstein numbers Lang, J. verfasserin (orcid)0000-0003-1582-7273 aut Enthalten in Journal of approximation theory Amsterdam [u.a.] : Elsevier, 1968 286 Online-Ressource (DE-627)266890598 (DE-600)1468964-9 (DE-576)103373136 nnns volume:286 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 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_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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.40 Analysis: Allgemeines AR 286 |
allfieldsSound |
10.1016/j.jat.2022.105848 doi (DE-627)ELV00901876X (ELSEVIER)S0021-9045(22)00120-4 DE-627 ger DE-627 rda eng 510 DE-600 31.40 bkl Edmunds, D.E. verfasserin aut Non-compact embeddings of Sobolev spaces 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The paper deals with the embedding of a first-order Sobolev space in a Lebesgue space on a bounded open set, and gives an example in which the embedding is not strictly singular. The same is shown to hold when the open set is an infinite strip. Sobolev embedding Non-compact map Strictly singular map Finitely strictly singular map Bernstein numbers Lang, J. verfasserin (orcid)0000-0003-1582-7273 aut Enthalten in Journal of approximation theory Amsterdam [u.a.] : Elsevier, 1968 286 Online-Ressource (DE-627)266890598 (DE-600)1468964-9 (DE-576)103373136 nnns volume:286 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 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_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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.40 Analysis: Allgemeines AR 286 |
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Enthalten in Journal of approximation theory 286 volume:286 |
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non-compact embeddings of sobolev spaces |
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Non-compact embeddings of Sobolev spaces |
abstract |
The paper deals with the embedding of a first-order Sobolev space in a Lebesgue space on a bounded open set, and gives an example in which the embedding is not strictly singular. The same is shown to hold when the open set is an infinite strip. |
abstractGer |
The paper deals with the embedding of a first-order Sobolev space in a Lebesgue space on a bounded open set, and gives an example in which the embedding is not strictly singular. The same is shown to hold when the open set is an infinite strip. |
abstract_unstemmed |
The paper deals with the embedding of a first-order Sobolev space in a Lebesgue space on a bounded open set, and gives an example in which the embedding is not strictly singular. The same is shown to hold when the open set is an infinite strip. |
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