WEIGHTED COMPOSITION OPERATORS FROM THE BESOV SPACE INTO nTH WEIGHTED TYPE SPACES

被引：2

作者：

Zhu, Xiangling ^{[1
]}

Abbasi, Ebrahim ^{[2
]}

Molaei, Daryoush ^{[3
]}

机构：

[1] Univ Elect Sci & Technol China, Zhongshan Inst, Zhongshan 528402, Guangdong, Peoples R China

[2] Islamic Azad Univ, Mahabad Branch, Dept Math, Mahabad, Iran

[3] Islamic Azad Univ, Urmia Branch, Dept Math, Orumiyeh, Iran

来源：

MATHEMATICA SLOVACA | 2022年 / 72卷 / 04期

关键词：

weighted composition operator; Besov space; nth weighted type space; COMPACT COMPOSITION OPERATORS; BLOCH TYPE SPACES; ESSENTIAL NORMS;

D O I：

10.1515/ms-2022-0068

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let phi be an analytic self-map of the open unit disk D in the complex plane C and u be an analytic function on D. The weighted composition operator is defined on the space H(D) of analytic functions on D by uC(phi)f = u . (f circle phi), f is an element of H(D). The boundedness and the compactness of weighted composition operators from the Besov space into nth weighted type spaces are given in this work. (C) 2022 Mathematical Institute Slovak Academy of Sciences

引用

页码：977 / 992

页数：16

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