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

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

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,...

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Veröffentlicht in:Potential analysis 2014, Vol.40 (1), p.81-102
Hauptverfasser: Choe, Boo Rim, Koo, Hyungwoon, Park, Inyoung
Format: Artikel
Sprache:eng
Schlagworte:
Functional Analysis
Geometry
Mathematics
Mathematics and Statistics
Potential Theory
Probability Theory and Stochastic Processes
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Zusammenfassung: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 .
ISSN:0926-2601
1572-929X
DOI:10.1007/s11118-013-9343-z