Varopoulos' extensions of boundary functions in $L^p$ and BMO in domains with Ahlfors-regular boundaries
| Autor: | Mourgoglou, Mihalis, Zacharopoulos, Thanasis |
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| Rok vydání: | 2023 |
| Předmět: | |
| DOI: | 10.48550/arxiv.2303.10717 |
| Popis: | Let $\Omega \subset \mathbb{R}^{n+1}$, $n \geq 1$, be an open set with $s$-Ahlfors regular boundary $\partial \Omega$, for some $s \in(0,n]$, such that either $s=n$ and $\Omega$ is a corkscrew domain with the pointwise John condition, or $s Comment: In this version we have made significant changes in the proofs of the main theorems in sections 6 and 7. We give a method that works simultaneously for $L^p$ and $BMO$ boundary functions and also fixed a mistake in the proof of the extension of compactly supported Lipschitz functions on the boundary. (46 pages) |
| Databáze: | OpenAIRE |
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