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.
引用
收藏
页码：13670 / 13683
页数：14
相关论文
共 50 条
  • [21] BOUNDEDNESS FROM BELOW OF COMPOSITION OPERATORS ON a LOGARITHMIC BLOCH SPACES
    Liu, Xiaosong
    Li, Songxiao
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2016, 10 (03): : 693 - 701
  • [22] Boundedness and Compactness of Composition Operators on Variable Exponent Bergman Spaces
    Morovatpoor, A.
    Abkar, A.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (01)
  • [23] Boundedness and Compactness of Composition Operators on Variable Exponent Bergman Spaces
    A. Morovatpoor
    A. Abkar
    Mediterranean Journal of Mathematics, 2020, 17
  • [24] Composition Operators on Weighted Spaces of Holomorphic Functions on JB*-triples
    Michael Mackey
    Pablo Sevilla-Peris
    José A. Vallejo
    Letters in Mathematical Physics, 2006, 76
  • [25] Mean ergodic composition operators on Banach spaces of holomorphic functions
    Beltran-Meneu, Maria J.
    Carmen Gomez-Collado, M.
    Jorda, Enrique
    Jornet, David
    JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 270 (12) : 4369 - 4385
  • [26] Composition operators on weighted spaces of holomorphic functions on JB*-triples
    Mackey, M
    Sevilla-Peris, P
    Vallejo, JA
    LETTERS IN MATHEMATICAL PHYSICS, 2006, 76 (01) : 19 - 26
  • [27] Characterizations of Composition Operators on Bloch and Hardy Type Spaces
    Chen, Shaolin
    Hamada, Hidetaka
    RESULTS IN MATHEMATICS, 2024, 79 (02)
  • [28] BOUNDEDNESS OF COMPOSITION OPERATORS ON D_T SPACES FOR T > 1
    胡鹏彦
    许卫民
    张文俊
    Acta Mathematica Scientia, 2000, (03) : 409 - 416
  • [29] Differences of composition operators between weighted-type spaces of holomorphic functions on the unit ball of CN
    Stevic, Stevo
    Wolf, Elke
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (05) : 1752 - 1760
  • [30] Composition operators between weighted inductive limits of spaces of holomorphic functions
    Bonet, J
    Friz, M
    Jordá, E
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2005, 67 (3-4): : 333 - 348
12345