Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2021; 36(4): 651-669

Online first article September 23, 2021      Printed October 31, 2021

https://doi.org/10.4134/CKMS.c200012

Copyright © The Korean Mathematical Society.

Slice regular Besov spaces of hyperholomorphic functions and composition operators

Sanjay Kumar, Khalid Manzoor

Central University of Jammu; Cluster University

Abstract

In this paper, we investigate some basic results on the slice regular Besov spaces of hyperholomorphic functions on the unit ball $\mathbb{B}.$ We also characterize the boundedness, compactness and find the essential norm estimates for composition operators between these spaces.

Keywords: Carleson measure, quaternions, Besov space, composition operators, boundedness, compactness, essential norm

MSC numbers: 30G35, 30H10, 30H20

Supported by: The work of the first author is supported by NBHM (DAE) (Grant No. 2/11/41/2017/ R$\&$D-II/3480).