Relations between Kondratiev spaces and refined localization Triebel-Lizorkin spaces
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914771880640512 |
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| author | Hansen, Markus Scharf, Benjamin Schneider, Cornelia |
| author_facet | Hansen, Markus Scharf, Benjamin Schneider, Cornelia |
| contents | We investigate the close relation between certain weighted Sobolev spaces (Kondratiev spaces) and refined localization spaces from introduced by Triebel [39,40]. In particular, using a characterization for refined localization spaces from Scharf [32], we considerably improve an embedding from Hansen [17]. This embedding is of special interest in connection with convergence rates for adaptive approximation schemes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_17359 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Relations between Kondratiev spaces and refined localization Triebel-Lizorkin spaces Hansen, Markus Scharf, Benjamin Schneider, Cornelia Analysis of PDEs Numerical Analysis Functional Analysis We investigate the close relation between certain weighted Sobolev spaces (Kondratiev spaces) and refined localization spaces from introduced by Triebel [39,40]. In particular, using a characterization for refined localization spaces from Scharf [32], we considerably improve an embedding from Hansen [17]. This embedding is of special interest in connection with convergence rates for adaptive approximation schemes. |
| title | Relations between Kondratiev spaces and refined localization Triebel-Lizorkin spaces |
| topic | Analysis of PDEs Numerical Analysis Functional Analysis |
| url | https://arxiv.org/abs/2404.17359 |