Spaces of D-Lp type and the Hankel convolution

Authors
Betancor, JJ Gonzalez, BJ
Citation
Jj. Betancor et Bj. Gonzalez, Spaces of D-Lp type and the Hankel convolution, P AM MATH S, 129(1), 2000, pp. 219-228
Citations number
24
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
129
Issue
1
Year of publication
2000
Pages
219 - 228
Database
ISI
SICI code
0002-9939(2000)129:1<219:SODTAT>2.0.ZU;2-Z
Abstract
In this paper we introduce new function spaces that are denoted by H-mu,H-p , mu > -1/2 and 1 less than or equal to p less than or equal to infinity, a nd that are spaces of D-Lp-type where the Hankel convolution and the Hankel transformation are defined. The spaces H-mu,H-p will play the same role in the Hankel setting that the spaces D-Lp play in the theory of Fourier tran sformation.