Hermite multipliers and pseudo-multipliers
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- by Jay Epperson PDF
- Proc. Amer. Math. Soc. 124 (1996), 2061-2068 Request permission
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 $L^p$ spaces. We also prove an $L^p$ boundedness result for a class of Hermite pseudo-multipliers.References
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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
- Received by editor(s): January 3, 1995
- Communicated by: J. Marshall Ash
- © Copyright 1996 American Mathematical Society
- 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