Bounded projectors and duality in the spaces of functions holomorphic in the unit ball

被引：0

作者：

Petrosyan, A. I. ^{[1
]}

机构：

[1] Yerevan State Univ, Yerevan, Armenia

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2017年 / 52卷 / 06期

关键词：

Banach space; harmonic function; weight function; weight measure; bounded projector; duality;

D O I：

10.3103/S106836231706005X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper studies the Banach spaces h (a)(phi), h (0)(phi), and h (1)(eta) of harmonic functions over the unit ball in R (n) . These spaces depend on a weight function phi and a weight measure eta. For a given function phi from a sufficiently broad class of functions, we solve the duality problem. that is, we construct measures eta such that h (1)(eta)* similar to h (a)(phi) and h (0)(phi)* similar to h (1)(eta).

引用

页码：295 / 304

页数：10

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