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

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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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Authors and Affiliations

  1. Department of Mathematics, Korea University, Seoul, 136-701, Korea

    Boo Rim Choe & Hyungwoon Koo

  2. BK21-Mathematical Sciences Division, Seoul National University, Seoul, 151-747, Korea

    Inyoung Park

Authors
  1. Boo Rim Choe
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  2. Hyungwoon Koo
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  3. Inyoung Park
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Corresponding author

Correspondence to Inyoung Park.

Additional information

H. Koo was supported by KRF of Korea (2012R1A1A2000705).

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Choe, B.R., Koo, H. & Park, I. Compact Differences of Composition Operators on the Bergman Spaces Over the Ball. Potential Anal 40, 81–102 (2014). https://doi.org/10.1007/s11118-013-9343-z

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  • DOI: https://doi.org/10.1007/s11118-013-9343-z

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