Hermite multipliers and pseudo-multipliers
Author:
Jay Epperson
Journal:
Proc. Amer. Math. Soc. 124 (1996), 2061-2068
MSC (1991):
Primary 42C10
DOI:
https://doi.org/10.1090/S0002-9939-96-03486-7
MathSciNet review:
1343690
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Abstract | References | Similar Articles | Additional Information
Abstract: We prove a multiplier theorem for the Hermite-Triebel-Lizorkin spaces introduced by Epperson in [Studia Math. 114 (1995), 87--103]. This extends Thangavelu's theorem [Revist. Mat. Ibero 3 (1987), 1--24; Math. Notes, vol. 42, 1993] on Hermite multipliers for 
spaces. We also prove an 
boundedness result for a class of Hermite pseudo-multipliers.
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Additional Information
Jay Epperson
Affiliation:
Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131
Email:
jeppers@math.unm.edu
DOI:
https://doi.org/10.1090/S0002-9939-96-03486-7
Received by editor(s):
January 3, 1995
Communicated by:
J. Marshall Ash
Article copyright:
© Copyright 1996
American Mathematical Society
