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

C. Chen

doi:10.37863/umzh.v73i8.607

C. Chen Tianjin Univ. Finance and Economics, China

DOI: https://doi.org/10.37863/umzh.v73i8.607

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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