VECTOR-VALUED FOURIER MULTIPLIERS ON SYMMETRICAL SPACES OF THE NONCOMPACT TYPE

Authors
SKRZYPCZAK L
Citation
L. Skrzypczak, VECTOR-VALUED FOURIER MULTIPLIERS ON SYMMETRICAL SPACES OF THE NONCOMPACT TYPE, Monatshefte fuer Mathematik, 119(1-2), 1995, pp. 99-123
Citations number
21
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Monatshefte fuer Mathematik → ACNP
ISSN journal
00269255
Volume
119
Issue
1-2
Year of publication
1995
Pages
99 - 123
Database
ISI
SICI code
0026-9255(1995)119:1-2<99:VFMOSS>2.0.ZU;2-R
Abstract
Let X be a Riemannian symmetric space of the noncompact type. We prove the multiplier theorem for the Helgason-Fourier transform and the vec tor valued function spaces L(p)(X, l(q)). As a consequence we get the inequalities of the Littlewood-Paley type for L(p)(X) spaces.