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New Characterizations for the Differences of Composition Operators Between Weighted-Type Spaces in the Unit Ball

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Ukrainian Mathematical Journal Aims and scope

We present some asymptotically equivalent expressions for the essential norm of differences of the composition operators acting on weighted-type spaces of holomorphic functions in the unit ball of ℂN. In particular, we present the descriptions in terms of 〈z, ζ〉m, which immediately imply the sufficient and necessary conditions of compactness. We also characterize the boundedness of these operators.

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Authors and Affiliations

  1. Tianjin University of Finance and Economics, Tianjin, China

    C. Chen

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  1. C. Chen
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Correspondence to C. Chen.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 8, pp. 1129–1139, August, 2021. Ukrainian DOI: 10.37863/umzh.v73i8.607.

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Chen, C. New Characterizations for the Differences of Composition Operators Between Weighted-Type Spaces in the Unit Ball. Ukr Math J 73, 1309–1321 (2022). https://doi.org/10.1007/s11253-022-01992-9

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  • DOI: https://doi.org/10.1007/s11253-022-01992-9

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