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Harmonic Besov and Triebel–Lizorkin spaces on the unit ball in $${\mathbb R}^d$$Rd with full range of parameters are introduced and studied. It is shown that these spaces can be identified… Click to show full abstract
Harmonic Besov and Triebel–Lizorkin spaces on the unit ball in $${\mathbb R}^d$$Rd 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.
Keywords:
lizorkin spaces;
harmonic besov;
triebel lizorkin;
besov triebel
Journal Title: Journal of Fourier Analysis and Applications
Year Published: 2017
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Journal Title: Journal of Fourier Analysis and Applications
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!