Hardy空间的扩展域

IF 0.7 3区 数学 Q2 MATHEMATICS Studia Mathematica Pub Date : 2023-01-01 DOI:10.4064/sm220726-30-5
Shahaboddin Shaabani
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引用次数: 0

摘要

我们证明了当且仅当一个适当开放子集$\Omega \subset \mathbb R^{n}$满足一定的几何条件时,它是$H^p$ ($0 \lt p\le 1$)的扩展域。当$n(1/p-1)\in \mathbb N$时,此条件等价于全局马尔可夫c
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Extension domains for Hardy spaces
We show that a proper open subset $\Omega \subset \mathbb R^{n}$ is an extension domain for $H^p$ ($0 \lt p\le 1$) if and only if it satisfies a certain geometric condition. When $n(1/p-1)\in \mathbb N$, this condition is equivalent to the global Markov c
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来源期刊
Studia Mathematica
Studia Mathematica 数学-数学
CiteScore
1.50
自引率
12.50%
发文量
72
审稿时长
5 months
期刊介绍: The journal publishes original papers in English, French, German and Russian, mainly in functional analysis, abstract methods of mathematical analysis and probability theory.
期刊最新文献
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