In this paper we study new Besov and Triebel-Lizorkin spaces on the basis of the Fourier-Bessel transformation.
The Triebel - Lizorkin Scale of Function Spaces for the Fourier - Helgason Transform
✍ Scribed by Leszek Skrzypczak
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 950 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0025-584X
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📜 SIMILAR VOLUMES
We study the boundedness of generalized Calderon᎐Zygmund operators acting ón Sobolev and, more generally, Triebel᎐Lizorkin spaces of arbitrary order of Ž ␥ . Ž ␥ . smoothness. We are able to relax the assumptions T x s 0 andror T \* x s 0, which have been required in earlier results by other authors
We study mapping properties of the Fourier Laplace transform between certain spaces of entire functions. We introduce a variant of the classical Fock space by integrating against the Monge AmpeÁ re measure of the weight function and show that the norm of the Fourier Laplace transform, in a dual Fock