Analytic Campanato Spaces and Their Compositions

被引：18

作者：

Xiao, Jie ^{[1
]}

Yuan, Cheng ^{[2
]}

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

[2] Tianjin Univ Technol & Educ, Inst Math, Sch Sci, Tianjin 300222, Peoples R China

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2015年 / 64卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Analytic Campanato spaces; bounded composition operators; COMPOSITION OPERATORS;

D O I：

10.1512/iumj.2015.64.5575

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article is devoted to characterizing the so-called analytic Campanato spaces AL(p,n) (including the analytic Morrey spaces, the analytic John-Nirenberg space, and the analytic Lipschitz/Holder spaces) on the complex unit disk D in terms of the Mobius mappings and the Littlewood-Paley forms, and consequently their compositions with the analytic self-maps of D.

引用

页码：1001 / 1025

页数：25

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