Essential norm of weighted composition operator between α-Bloch space and β-Bloch space in polydiscs

IF 1 Q1 MATHEMATICS

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2004-01-01 DOI:10.1155/S0161171204403548

Li Songxiao, Zhuang Xiangling

引用次数: 1

Abstract

Let φ(z)=(φ1(z),…,φn(z)) be a holomorphic self-map of 𝔻n and ψ(z) a holomorphic function on 𝔻n, where 𝔻n is the unit polydiscs of ℂn. Let 0<α, β<1, we compute the essential norm of a weighted composition operator ψCφ between α-Bloch space ℬα(𝔻n) and β-Bloch space ℬβ(𝔻n).

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多盘中α-Bloch空间与β-Bloch空间间加权复合算子的本质范数

设φ(z)=(φ1(z)，…，φn(z))为𝔻n的全纯自映射，φ (z)为𝔻n上的全纯函数，其中𝔻n为n的单位多盘。设0<α， β<1，计算α- bloch空间与β- bloch空间之间加权复合算子ψCφ的本质范数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Mathematics-Mathematics (miscellaneous)

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

17 weeks

期刊介绍： The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.