Cesaro-Like Operators on the Hardy and Bergman Spaces of the Half Plane

被引：8

作者：

Ballamoole, S. ^{[1
]}

Bonyo, J. O. ^{[1
]}

Miller, T. L. ^{[1
]}

Miller, V. G. ^{[1
]}

机构：

[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2016年 / 10卷 / 01期

关键词：

One-parameter operator group; Spectrum; Resolvent; Compact operator;

D O I：

10.1007/s11785-015-0481-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct integral operators associated with strongly continuous groups of invertible isometries on the Hardy spaces and the weighted Bergman spaces of the upper half plane. Specifically, we obtain the spectrum and point spectrum of the generator and represent resolvents as integral operators related to the Cesaro operator investigated by Arvanitidis and Siskakis C-1 f (z) := 1/z integral(z)(0) f (zeta) d zeta on the Hardy Spaces H-p(U), p > 1, Arvanitidis and Siskakis (Can Math Bull 153: 1-12, 2011).

引用

页码：187 / 203

页数：17

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