IMI : Harmonic Besov and Triebel-Lizorkin Spaces on the Ball

Preprint Series

This is a series in pure, applied, and computational mathematics by members of the Interdisciplinary Mathematics Institute.

IMI members may submit preprints by email request to:

Diana Diaz
Email: ddiaz@mailbox.sc.edu

Preprint Series by Year

2016:02
Harmonic Besov and Triebel-Lizorkin spaces on the unit ball in R^d with full range of parameters are introduced and studied. It is shown that these spaces can be identified with respective Besov and Triebel-Lizorkin spaces of distributions on the sphere. Frames consisting of harmonic functions are also developed and frame characterization of the harmonic Besov and Triebel-Lizorkin spaces is established.