μ-Bloch空间上的积分算子

何忠华, 曹广福

数学学报 ›› 2013, Vol. 56 ›› Issue (5) : 727-734.

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数学学报 ›› 2013, Vol. 56 ›› Issue (5) : 727-734. DOI: 10.12386/A2013sxxb0072
论文

μ-Bloch空间上的积分算子

    何忠华, 曹广福
作者信息 +

Integral-Type Operators on μ-Bloch Spaces

    Zhong Hua HE, Guang Fu CAO
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文章历史 +

摘要

设g∈H(D),μ为权函数,φ,Ψ是单位圆盘D到自身的解析映射,定义单位圆盘D上μ-Bloch空间Bμ上的积分算子Jg,Ψ,Ψ和Ig,Ψ,Ψ为
本文给出了该类积分算子在μ-Bloch空间上有界性和紧性的充要条件.

Abstract

Let g∈H(D), and φ,Ψ be holomorphic self-maps of D. We investigate the boundedness and compactness of the following integral-type operators 
on μ-Bloch spaces Bμ on unit disk D, where μ is a weight.

关键词

积分算子 / u-Bloch空间 / 有界性 / 紧性

Key words

integral-type operator / μ-Bloch space / boundedness / compactness

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何忠华, 曹广福. μ-Bloch空间上的积分算子. 数学学报, 2013, 56(5): 727-734 https://doi.org/10.12386/A2013sxxb0072
Zhong Hua HE, Guang Fu CAO. Integral-Type Operators on μ-Bloch Spaces. Acta Mathematica Sinica, Chinese Series, 2013, 56(5): 727-734 https://doi.org/10.12386/A2013sxxb0072

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基金

国家自然科学基金资助项目(10971040, 11271092)

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