从B0到QK和QK,0空间的复合算子

数学季刊 ›› 2010, Vol. 25 ›› Issue (1): 86-91.

从B⁰到Q_K和Q_K,0空间的复合算子

1. Department of Basic Courses, Xuzhou Professional of Architectural Technologies2. College of Mathematics and Science, Xuzhou Normal University

收稿日期:2006-12-07 出版日期:2010-03-30 发布日期:2023-06-09
作者简介: GUO Jian(1981- ), male, native of Tongshan, Jiangsu, M.S.D., a lecturer of Xuzhou Professional of Architectural Technologies, engages in functional analysis; LIU Yong-min(1957- ), male, native of Fengxian, Jiangsu, a professor of Xuzhou Normal University, engages in functional analysis.
基金资助:
Supported by the Natural Science Foundation of China(10471039)； Supported by the Natural Science Foundation of the Education Committee of Jiangsu Province of China(06KJD110175； 07KJB110115)； Supported by the Scientific Research Foundation of Xuzhou professional of Architectural Technologies(07JYA3-13)；

Composition Operators From B₀ to Q_K and Q_K,0 Spaces

1. Department of Basic Courses, Xuzhou Professional of Architectural Technologies2. College of Mathematics and Science, Xuzhou Normal University

Received:2006-12-07 Online:2010-03-30 Published:2023-06-09
About author: GUO Jian(1981- ), male, native of Tongshan, Jiangsu, M.S.D., a lecturer of Xuzhou Professional of Architectural Technologies, engages in functional analysis; LIU Yong-min(1957- ), male, native of Fengxian, Jiangsu, a professor of Xuzhou Normal University, engages in functional analysis.
Supported by:
Supported by the Natural Science Foundation of China(10471039)； Supported by the Natural Science Foundation of the Education Committee of Jiangsu Province of China(06KJD110175； 07KJB110115)； Supported by the Scientific Research Foundation of Xuzhou professional of Architectural Technologies(07JYA3-13)；

摘要/Abstract

摘要：

When φ is an analytic map of the unit disk D into itself, and X is a Banach space of analytic functions on D, define the composition operator Cφ by Cφ(f) = f ο φ, for f ∈ X. In this paper, we study the boundedness and compactness of composition operators from the space B⁰ to Q_K and Q_K,0.

关键词: bounded operator, compact operator, composition operator, analytic function

Abstract: When φ is an analytic map of the unit disk D into itself, and X is a Banach space of analytic functions on D, define the composition operator Cφ by Cφ(f) = f ο φ, for f ∈ X. In this paper, we study the boundedness and compactness of composition operators from the space B⁰ to Q_K and Q_K,0.

Key words: bounded operator, compact operator, composition operator, analytic function

中图分类号:

O177

郭健, 刘永民. 从B⁰到Q_K和Q_K,0空间的复合算子[J]. 数学季刊, 2010, 25(1): 86-91.

GUO Jian, LIU Yong-min. Composition Operators From B₀ to Q_K and Q_K,0 Spaces[J]. Chinese Quarterly Journal of Mathematics, 2010, 25(1): 86-91.

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从B⁰到Q_K和Q_K,0空间的复合算子

Composition Operators From B₀ to Q_K and Q_K,0 Spaces

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