Quaternionic Hankel operators and approximation by slice regular functions

Abstract

In this paper we study Hankel operators in the quaternionic setting. In particular we prove that they can be exploited to measure the $L^{\infty }$ distance of a slice $L^{\infty }$ function from the space of bounded slice regular functions.

19 pages

References in corpus (3)

• Slice regular functions on real alternative algebras
• A Bloch-Landau Theorem for slice regular functions
• The orthogonal projection on slice functions on the quaternionic sphere

Cited by in corpus (2)

• The orthogonal projection on slice functions on the quaternionic sphere
• Fundamental properties of Cauchy--Szegő projection on quaternionic Siegel upper half space and applications