Compact Differences of Composition Operators on the Bergman Spaces Over the Ball

Boo Rim Choe; Hyungwoon Koo; Inyoung Park

doi:10.1007/s11118-013-9343-z

Compact Differences of Composition Operators on the Bergman Spaces Over the Ball

Boo Rim Choe, Hyungwoon Koo, Inyoung Park

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

37 Citations (Scopus)

Abstract

The compact differences of composition operators acting on the weighted L ²-Bergman space over the unit disk is characterized by the angular derivative cancellation property and due to Moorhouse. In this paper we extend Moorhouse's characterization, as well as some related results, to the ball and, at the same time, to the weighted L ^p-Bergman space for the full range of p.

Original language	English
Pages (from-to)	81-102
Number of pages	22
Journal	Potential Analysis
Volume	40
Issue number	1
DOIs	https://doi.org/10.1007/s11118-013-9343-z
Publication status	Published - 2014 Jan

Keywords

Ball
Compact combination
Compact difference
Composition operator
Weighted Bergman space

ASJC Scopus subject areas

Analysis

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10.1007/s11118-013-9343-z

Cite this

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abstract = "The compact differences of composition operators acting on the weighted L 2-Bergman space over the unit disk is characterized by the angular derivative cancellation property and due to Moorhouse. In this paper we extend Moorhouse's characterization, as well as some related results, to the ball and, at the same time, to the weighted L p-Bergman space for the full range of p.",

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AB - The compact differences of composition operators acting on the weighted L 2-Bergman space over the unit disk is characterized by the angular derivative cancellation property and due to Moorhouse. In this paper we extend Moorhouse's characterization, as well as some related results, to the ball and, at the same time, to the weighted L p-Bergman space for the full range of p.

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KW - Compact combination

KW - Compact difference

KW - Composition operator

KW - Weighted Bergman space

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Compact Differences of Composition Operators on the Bergman Spaces Over the Ball

Abstract

Keywords

ASJC Scopus subject areas

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