Compactness of classical operators on weighted Banach spaces of holomorphic functions

被引：8

作者：

Abanin, Alexander V. ^{[1
,2
]}

Pham Trong Tien ^{[3
]}

机构：

[1] Southern Fed Univ, Rostov Na Donu 344090, Russia

[2] Southern Math Inst, Vladikavkaz 362027, Russia

[3] Hanoi Univ Sci, VNU, 334 Nguyen Trai, Hanoi, Vietnam

来源：

COLLECTANEA MATHEMATICA | 2018年 / 69卷 / 01期

关键词：

Weighted spaces of holomorphic functions; Differentiation operator; Integration operator; Compact operators; DIFFERENTIATION OPERATOR; ANALYTIC-FUNCTIONS; DYNAMICS;

D O I：

10.1007/s13348-016-0185-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by some recent results on the boundedness and dynamical properties of the differentiation and integration operators in weighted Banach spaces of holomorphic functions, we study conditions on weights that guarantee the compactness of these two operators in the corresponding weighted spaces.

引用

页码：1 / 15

页数：15

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