Slice regular Besov spaces of hyperholomorphic functions and composition operators Commun. Korean Math. Soc. 2021 Vol. 36, No. 4, 651-669 https://doi.org/10.4134/CKMS.c200012 Published online September 23, 2021 Printed October 31, 2021 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). Downloads: Full-text PDF   Full-text HTML