Harmonic Besov and Triebel–Lizorkin Spaces on the Ball
| Autor: | Pencho Petrushev, Kamen G. Ivanov |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Unit sphere
Statistics::Theory Mathematics::Functional Analysis Partial differential equation Applied Mathematics General Mathematics 010102 general mathematics Mathematical analysis Mathematics::Analysis of PDEs Mathematics::Classical Analysis and ODEs Spherical harmonics 01 natural sciences 010101 applied mathematics symbols.namesake Harmonic function Fourier analysis symbols Interpolation space Besov space Ball (mathematics) 0101 mathematics Analysis Mathematics |
| Zdroj: | Journal of Fourier Analysis and Applications. 23:1062-1096 |
| ISSN: | 1531-5851 1069-5869 |
| DOI: | 10.1007/s00041-016-9499-1 |
| Popis: | Harmonic Besov and Triebel–Lizorkin spaces on the unit ball in \({\mathbb R}^d\) 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. |
| Databáze: | OpenAIRE |
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