Weighted composition operators between Fock-type spaces in CN

被引：33

作者：

Stevic, Stevo ^{[1
]}

机构：

[1] Serbian Acad Sci, Math Inst, Belgrade 11000, Serbia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 07期

关键词：

Weighted composition operators; Boundedness; Compactness; Essential norm; Fock-type spaces; BLOCH-TYPE SPACES; UNIT BALL; BERGMAN SPACES; H-INFINITY; NORMS;

D O I：

10.1016/j.amc.2009.09.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by quite recent results by Ueki [ 22] the boundedness and compactness of the weighted composition operators acting between some Fock-type spaces in C-N are characterized. We also study weighted composition operators on little weighted Fock-type spaces. Norm of some of these operators is calculated. In some cases we give some estimates for the essential norm of some of these operators. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：2750 / 2760

页数：11

共 25 条

[1]

[Anonymous], INT J MATH ANAL

[2]

[Anonymous], COMPOSITION OPERATOR

[3]

[Anonymous], INT J MOD MATH

[4]

CARSWELL B, 2003, ACTA SCI MATH SZEGED, V69, P871