Slice regular Besov spaces of hyperholomorphic functions and composition operators

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 of composition operators between these spaces.

References in corpus (2)

• The C-property for slice regular functions and applications to the Bergman space
• The orthogonal projection on slice functions on the quaternionic sphere