Boundedness of composition operators in holomorphic Holder type spaces

被引：1
|
作者：
Blasco, Oscar [1 ]
Karapetyants, Alexey [2 ]
Restrepo, Joel E. [3 ,4 ]
机构：
[1] Univ Valencia, Dept Math Anal, Valencia, Spain
[2] Southern Fed Univ, Mechan & Comp Sci & Reg Math Ctr, Inst Math, Rostov Na Donu, Russia
[3] Univ Antioquia, Inst Math, Medellin, Colombia
[4] Nazarbayev Univ, Dept Math, Nur Sultan, Kazakhstan
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 17期
基金：
俄罗斯基础研究基金会;
关键词：
composition operator; Holder spaces; holomorphic functions; modulus of continuity; ANALYTIC-FUNCTIONS; GROWTH;
D O I：
10.1002/mma.7650
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new characterization of boundedness of the composition operators in generalized Holder spaces is obtained in terms that do not use the derivative of the composition operator, but using some averaging construction which represents certain integration of the modulus of continuity involving the symbol of the composition operator. This approach also allows to recover previously known results for the standard weights omega(t) = t(alpha) with 0 < alpha < 1. Certain further results on characterization of the same spaces are obtained as well.
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页码：13670 / 13683
页数：14
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