关于广义Bergman空间的乘子

数学季刊 ›› 2005, Vol. 20 ›› Issue (1): 47-53.

关于广义Bergman空间的乘子

Department of Mathematics and Physics, Shandong Institute of Architecture and Engineering, Jinan 250014, China

出版日期:2005-03-30 发布日期:2024-01-26
作者简介:YUE Xiu-kui(1958-),male,native of Caoxian,Shandong,a professor of Shangdong Institute of Architecture and Engineering,M.S.D.,engages in multiplier theory.

Multipliers on Generalized Bergman Spaces

Department of Mathematics and Physics, Shandong Institute of Architecture and Engineering, Jinan 250014, China

Online:2005-03-30 Published:2024-01-26
About author:YUE Xiu-kui(1958-),male,native of Caoxian,Shandong,a professor of Shangdong Institute of Architecture and Engineering,M.S.D.,engages in multiplier theory.

摘要/Abstract

摘要： In this paper,we characterize the multipliers of generalized Bergman spaces A^p,q,αwith 0<p≤1,0<q, α<∞into some analytic function spaces and into sequence spaces, and show that the multipliers of A^p,q,α(0 <p≤1,0<q,α<∞) into a given space are the same as those of A^p,α(0 < p≤1, α>0) in almost every case considered. The corollaries on multipliers of the spaces A^p,q,αextend some related results.

关键词: analytic , function , space;Hadamard , product;multiplier;operator

Abstract: In this paper,we characterize the multipliers of generalized Bergman spaces A^p,q,αwith 0<p≤1,0<q, α<∞into some analytic function spaces and into sequence spaces, and show that the multipliers of A^p,q,α(0 <p≤1,0<q,α<∞) into a given space are the same as those of A^p,α(0 < p≤1, α>0) in almost every case considered. The corollaries on multipliers of the spaces A^p,q,αextend some related results.

Key words: analytic , function , space;Hadamard , product;multiplier;operator

中图分类号:

O177.3

岳修奎. 关于广义Bergman空间的乘子[J]. 数学季刊, 2005, 20(1): 47-53.

YUE Xiu-kui. Multipliers on Generalized Bergman Spaces[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(1): 47-53.

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