Product of Volterra Type Integral and Composition Operators on Weighted Fock Spaces

被引：23

作者：

Mengestie, Tesfa ^{[1
]}

机构：

[1] Norwegian Univ Sci & Technol NTNU, Dept Math Sci, N-7491 Trondheim, Norway

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2014年 / 24卷 / 02期

关键词：

Fock space; Volterra operator; Composition operator; Boundedness; Compactness; Schatten class; Norm; Essential norm; BLOCH TYPE SPACES; GENERALIZED COMPOSITION OPERATORS; BERGMAN SPACES; ANALYTIC-FUNCTIONS;

D O I：

10.1007/s12220-012-9353-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the bounded, compact, and Schatten class product of Volterra type integral and composition operators acting between weighted Fock spaces. Our results are expressed in terms of certain Berezin type integral transforms on the complex plane C. We also estimate the norms and essential norms of these operators in terms of the integral transforms. All our results are valid for weighted composition operators when acting between the class of weighted Fock spaces considered.

引用

页码：740 / 755

页数：16

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