A T(P) theorem for Zygmund spaces on domains
| Autor: | Vasin, Andrei V., Doubtsov, Evgueni |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Let $D\subset \mathbb{R}^d$ be a bounded Lipschitz domain, $\omega$ be a high order modulus of continuity and let $T$ be a convolution Calder\'{o}n-Zygmund operator. We characterize the bounded restricted operators $T_D$ on the Zygmund space $\mathcal{C}_{\omega}(D)$. The characterization is based on properties of $T_D P$ for appropriate polynomials $P$ restricted to $D$. Comment: 19 pages; minor changes and corrections |
| Databáze: | arXiv |
| Externí odkaz: |
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