A Classification Theorem on Non-compact Embeddings between Besov Spaces
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909805475528704 |
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| author | Chuah, Chian Yeong Lang, Jan Yao, Liding |
| author_facet | Chuah, Chian Yeong Lang, Jan Yao, Liding |
| contents | We analyze the embedding properties between Besov spaces, defined on the total space $\mathbb R^n$ and on bounded domains. We give a complete classification on whether or not these embedding maps satisfy certain weak compactness characterized by the so-called strictly and finitely strictly singular condition. The result extends the recent findings on Sobolev embeddings by offering a refined description of the quality of non-compactness in the setting of Besov spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10731 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Classification Theorem on Non-compact Embeddings between Besov Spaces Chuah, Chian Yeong Lang, Jan Yao, Liding Functional Analysis 47B06 (primary) 46E35 and 46B45 (secondary) We analyze the embedding properties between Besov spaces, defined on the total space $\mathbb R^n$ and on bounded domains. We give a complete classification on whether or not these embedding maps satisfy certain weak compactness characterized by the so-called strictly and finitely strictly singular condition. The result extends the recent findings on Sobolev embeddings by offering a refined description of the quality of non-compactness in the setting of Besov spaces. |
| title | A Classification Theorem on Non-compact Embeddings between Besov Spaces |
| topic | Functional Analysis 47B06 (primary) 46E35 and 46B45 (secondary) |
| url | https://arxiv.org/abs/2410.10731 |