Conformally Invariant Besov Spaces on Chord-Arc Domains
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866910185417605120 |
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| author | Tailiang, Liu Yuliang, Shen Yaosong, Yang |
| author_facet | Tailiang, Liu Yuliang, Shen Yaosong, Yang |
| contents | Inspired by the classical Besov $p$-space ($1<p<\infty$) defined by means of higher-order derivatives on the upper half-plane, we introduce Besov-type spaces on simply connected domains. We study the relation between the geometric properties of the domain and these spaces, and characterize chord-arc domains in terms of the isomorphisms among these Besov spaces. Furthermore, we obtain that these spaces on chord-arc domains inherit the conformal invariance from the classical setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_01526 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Conformally Invariant Besov Spaces on Chord-Arc Domains Tailiang, Liu Yuliang, Shen Yaosong, Yang Complex Variables 30C62, 30E25, 30H25, 42B35 Inspired by the classical Besov $p$-space ($1<p<\infty$) defined by means of higher-order derivatives on the upper half-plane, we introduce Besov-type spaces on simply connected domains. We study the relation between the geometric properties of the domain and these spaces, and characterize chord-arc domains in terms of the isomorphisms among these Besov spaces. Furthermore, we obtain that these spaces on chord-arc domains inherit the conformal invariance from the classical setting. |
| title | Conformally Invariant Besov Spaces on Chord-Arc Domains |
| topic | Complex Variables 30C62, 30E25, 30H25, 42B35 |
| url | https://arxiv.org/abs/2605.01526 |