ESSENTIAL NORM OF WEIGHTED COMPOSITION FOLLOWED AND PROCEEDED BY DIFFERENTIATION OPERATOR FROM BLOCH-TYPE INTO BERS-TYPE SPACES

被引：2

作者：

Vaezi, Hamid ^{[1
]}

Naghlisar, Mohamad ^{[1
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Dept Pure Math, Tabriz, Iran

来源：

OPERATORS AND MATRICES | 2021年 / 15卷 / 03期

关键词：

Weighted composition operator; Bloch-type space; Bers-type space; essential norm; BERGMAN SPACES; HARDY; PRODUCTS; ZYGMUND;

D O I：

10.7153/oam-2021-15-57

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the weighted composition followed and proceeded by differentiation operator (DO phi D)-D-u from Bloch-type space B-alpha into Bers-type space H-beta(infinity). First, we give necessary and sufficient conditions for boundedness and compactness of this operator. Then, we obtain the essential norm estimate of such an operator in terms of u and phi.

引用

页码：853 / 870

页数：18

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