Name: The Weighted Composition Operators on the Large Weighted Bergman Spaces
Creator: Inyoung Park
Keywords: Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Mathematics - Functional Analysis, large weighted Bergman space, Bergman spaces and Fock spaces, weighted composition operator, Schatten class, Linear composition operators, FOS: Mathematics, 0101 mathematics, 01 natural sciences

The weighted composition operators on the large weighted Bergman spaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 30 Jan 2018Embargo end date: 01 Jan 2017 English Publisher:Springer Science and Business Media LLCJournal:Complex Analysis and Operator Theory, volume 13, pages 223-239 (issn: 1661-8254, eissn: 1661-8262,

Authors: Inyoung Park;

doi: 10.1007/s11785-018-0768-7 , 10.48550/arxiv.1708.05934

arXiv: 1708.05934

The Weighted Composition Operators on the Large Weighted Bergman Spaces

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Abstract

In this paper, we characterize bounded, compact or Schatten class weighted composition operators acting on Bergman spaces with the exponential type weights. Moreover, we give the proof of the necessary part for the boundedness of composition operators on large weighted Bergman spaces given by Kriete and Maccluer in 1992.

Complex Anal. Oper. Theory (to appear)

Related Organizations

Pusan National University
Korea (Republic of)

Keywords

Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Mathematics - Functional Analysis, large weighted Bergman space, Bergman spaces and Fock spaces, weighted composition operator, Schatten class, Linear composition operators, FOS: Mathematics, Functional Analysis (math.FA)

2 Research products, page 1 of 1

Composition operators on weighted Bergman spaces.
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