Differentiation and integration operators on weighted Banach spaces of holomorphic functions

被引：12
|
作者：
Abanin, Alexander V. [1 ,2 ]
Pham Trong Tien [3 ]
机构：
[1] Southern Fed Univ, Rostov Na Donu 344090, Russia
[2] Southern Inst Math, Vladikavkaz 362027, Russia
[3] Vietnam Natl Univ, Hanoi Univ Sci, 334 Nguyen Trai Str, Hanoi, Vietnam
来源：
MATHEMATISCHE NACHRICHTEN | 2017年 / 290卷 / 8-9期
基金：
俄罗斯基础研究基金会;
关键词：
Weighted Banach spaces of holomorphic functions; differentiation operators; integration operators; ANALYTIC-FUNCTIONS;
D O I：
10.1002/mana.201500405
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain a new natural description of the class of radial weights for which some previous results of A. Harutyunyan and W. Lusky concerning the boundedness of differentiation and integration operators on corresponding spaces are valid. To do this, we develop an elementary approach which is essentially different from the previous one and allows us to establish several new results and new characterizations of some popular classes of radial weights. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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页码：1144 / 1162
页数：19
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