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Bull. Korean Math. Soc. 2023; 60(3): 649-657

Online first article May 11, 2023      Printed May 31, 2023

https://doi.org/10.4134/BKMS.b220137

Copyright © The Korean Mathematical Society.

Compact composition operators on Besov spaces on the unit ball

Chao Zhang

Guangdong University of Education

Abstract

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In this paper, we give new necessary and sufficient conditions for the compactness of composition operator on the Besov space and the Bloch space of the unit ball, which, to a certain extent, generalizes the results given by M. Tjani in [10].

Keywords: Composition operator, Besov spaces, Bloch spaces, Carleson measure

MSC numbers: Primary 47B33, 30H25, 30H30

Supported by: The author is supported by Special Projects in Key Areas of Guangdong Province (No. ZDZX1088) and Fund for Science and Technology of Guangzhou (No. 202102080428).

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