HERMITE MULTIPLIERS AND PSEUDO-MULTIPLIERS

Authors
EPPERSON J
Citation
J. Epperson, HERMITE MULTIPLIERS AND PSEUDO-MULTIPLIERS, Proceedings of the American Mathematical Society, 124(7), 1996, pp. 2061-2068
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
7
Year of publication
1996
Pages
2061 - 2068
Database
ISI
SICI code
0002-9939(1996)124:7<2061:HMAP>2.0.ZU;2-B
Abstract
We prove a multiplier theorem for the Hermite-Triebel-Lizorkin spaces introduced by Epperson in [Studia Math. 114 (1995), 87-103]. This exte nds Thangavelu's theorem [Revist. Mat. Ibero 3 (1987), 1-24; Math. Not es, vol. 42, 1993] on Hermite multipliers for L(p) spaces. We also pro ve an L(p) boundedness result for a class of Hermite pseudo-multiplier s.