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The Bergman number of a plane domain

IF 0.6 Q3 MATHEMATICS
Illinois Journal of Mathematics Pub Date : 2022-10-21 DOI:10.1215/00192082-10678837
Christina Karafyllia
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引用次数: 1

Abstract

Let $D$ be a domain in the complex plane $\mathbb{C}$. The Hardy number of $D$, which first introduced by Hansen, is the maximal number $h(D)$ in $[0,+\infty]$ such that $f$ belongs to the classical Hardy space $H^p (\mathbb{D})$ whenever $00$ and $\alpha>-1$ satisfy $0<\frac{p}{\alpha+2}
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平面域的伯格曼数
设$D$是复平面$\mathbb｛C｝$中的一个域。Hansen首先引入的$D$的Hardy数是$[0，+\infty]$中的最大数$h（D）$，使得$f$属于经典Hardy空间$h^p（\mathbb｛D｝）$，只要$00$和$\alpha>-1$满足$0<\frac｛p｝｛\alpha+2｝
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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来源期刊
Illinois Journal of Mathematics
Illinois Journal of Mathematics 数学-数学
CiteScore
0.90
自引率
0.00%
发文量
18
期刊介绍： IJM strives to publish high quality research papers in all areas of mainstream mathematics that are of interest to a substantial number of its readers. IJM is published by Duke University Press on behalf of the Department of Mathematics at the University of Illinois at Urbana-Champaign.
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