Essential Norms of Weighted Differentiation Composition Operators between Zygmund Type Spaces and Bloch Type Spaces

被引：5

作者：

Sanatpour, Amir H. ^{[1
]}

Hassanlou, Mostafa ^{[2
]}

机构：

[1] Kharazmi Univ, Dept Math, Tehran, Iran

[2] Urmia Univ, Shahid Bakeri High Educ Ctr Miandoab, Orumiyeh, Iran

来源：

FILOMAT | 2017年 / 31卷 / 09期

关键词：

Weighted differentiation composition operators; generalized weighted composition operators; essential norms; Zygmund type spaces; Bloch type spaces; ANALYTIC-FUNCTIONS; BANACH-SPACES;

D O I：

10.2298/FIL1709877S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study boundedness of weighted differentiation composition operators D-phi,u(k) between Zygmund type spaces Z(alpha) and Bloch type spaces B-beta. We also give essential norm estimates of such operators in different cases of k is an element of N and 0 < alpha, beta < infinity. Applying our essential norm estimates, we get necessary and sufficient conditions for the compactness of these operators.

引用

页码：2877 / 2889

页数：13

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