Hardy spaces for α-harmonic functions in regular domains

被引：5

作者：

Michalik, Krzysztof ^{[1
]}

Ryznar, Michal ^{[1
]}

机构：

[1] Wroclaw Univ Technol, Inst Math, PL-50370 Wroclaw, Poland

来源：

MATHEMATISCHE ZEITSCHRIFT | 2010年 / 265卷 / 01期

关键词：

Hardy spaces; alpha-Stable functions; Relative Fatou theorem; Martin representation; BOUNDARY HARNACK PRINCIPLE; SYMMETRIC STABLE PROCESSES; RELATIVE FATOU THEOREM; LIPSCHITZ-DOMAINS;

D O I：

10.1007/s00209-009-0509-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate Hardy spaces H (p) for singular alpha-harmonic functions in bounded domains with regular boundaries. We show the correspondence between these spaces and suitable L (p) spaces and measure spaces.

引用

页码：173 / 186

页数：14

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