Composition operators from the Hardy space to the nth weighted-type space on the unit disk and the half-plane

被引：31

作者：

Stevic, Stevo ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 215卷 / 11期

关键词：

Composition operator; Boundedness; Hardy space; Upper half-plane; Unit disk; ZYGMUND-TYPE SPACES; BERGMAN SPACES; BLOCH-SPACES; H-INFINITY; NORMS;

D O I：

10.1016/j.amc.2009.11.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The boundedness of the composition operator C(phi)f(z) = f(phi(z)) from the Hardy space H-p (X), p > 0, where X is the upper half-plane Pi(+) = {z is an element of C : Imz > 0} or the unit disk D = {z is an element of C : vertical bar z vertical bar < 1} in the complex plane C, to the nth weighted-type space, where phi is an analytic self-map of X, is characterized. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：3950 / 3955

页数：6