Harmonic Besov and Triebel-Lizorkin Spaces on the Ball
A 2016 Preprint by K. Ivanov and P. Petrushev
- 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.
