Orlicz-Sobolev embeddings and heat kernel based Besov classes
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910943492964352 |
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| author | Ruiz, Patricia Alonso Baudoin, Fabrice |
| author_facet | Ruiz, Patricia Alonso Baudoin, Fabrice |
| contents | This paper investigates functional inequalities involving Besov spaces and functions of bounded variation, when the underlying metric measure space displays different local and global structures. Particular focus is put on the $L^1$ theory and its applications to sets of finite perimeter and isoperimetric inequalities, which can now capture such structural differences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09212 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Orlicz-Sobolev embeddings and heat kernel based Besov classes Ruiz, Patricia Alonso Baudoin, Fabrice Functional Analysis Metric Geometry This paper investigates functional inequalities involving Besov spaces and functions of bounded variation, when the underlying metric measure space displays different local and global structures. Particular focus is put on the $L^1$ theory and its applications to sets of finite perimeter and isoperimetric inequalities, which can now capture such structural differences. |
| title | Orlicz-Sobolev embeddings and heat kernel based Besov classes |
| topic | Functional Analysis Metric Geometry |
| url | https://arxiv.org/abs/2505.09212 |