New characterizations for differences of composition operators between weighted-type spaces in the unit ball

  • C. Chen Tianjin Univ. Finance and Economics, China
Keywords: holomorphic functions

Abstract

In this paper, we present some asymptotically equivalent expressions to the essential norm of differences of composition operators acting on weighted-type spaces of holomorphic functions in the unit ball of $\mathbb{C}^N$. Especially, the descriptions in terms of $\langle z, \zeta\rangle^m$ are described. From which the sufficient and necessary conditions of compactness follows immediately. Also, we characterize the boundedness of these operators.

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Published
18.08.2021
How to Cite
Chen, C. “New Characterizations for Differences of Composition Operators Between Weighted-Type Spaces in the Unit Ball”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, no. 8, Aug. 2021, pp. 1129 -39, doi:10.37863/umzh.v73i8.607.
Section
Research articles