The orthogonal projection on slice functions on the quaternionic sphere

Abstract

We study the $L^p$ norm of the orthogonal projection from the space of quaternion valued $L^2$ functions to the closed subspace of slice $L^2$ functions.

6 pages

Cited by in corpus (2)

• Slice regular Besov spaces of hyperholomorphic functions and composition operators
• Quaternionic Fock space in an Euclidean unit ball ${\mathbb{B}}^n$