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ArticleOriginal scientific text

Title

Triebel-Lizorkin spaces for Hermite expansions

Authors 1

Affiliations

  1. Department of Mathematics, University of New Mexico, Albuquerque, New Mexico 87131, U.S.A.

Abstract

This paper develops some Littlewood-Paley theory for Hermite expansions. The main result is that certain analogues of Triebel-Lizorkin spaces are well-defined in the context of Hermite expansions.

Bibliography

  1. C. Fefferman and E. M. Stein, Some maximal inequalities, Amer. J. Math. 93 (1972), 107-115.
  2. B. Muckenhoupt, Mean convergence of Hermite and Laguerre series II, Trans. Amer. Math. Soc. 147 (1970), 433-460.
  3. J. Peetre, On spaces of Triebel-Lizorkin type, Ark. Mat. 13 (1975), 123-130.
  4. S. Thangavelu, Lectures on Hermite and Laguerre Expansions, Math. Notes 42, Princeton Univ. Press, 1993.
  5. H. Triebel, Theory of Function Spaces, Monographs Math. 78, Birkhäuser, Basel, 1983.
  6. H. Triebel, Theory of Function Spaces II, Monographs Math. 84, Birkhäuser, Basel, 1992.
Studia Mathematica
1995/114/1
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Pages:
87-103
Main language of publication
English
Received
1994-06-29
Accepted
1995-01-03
Published
1995
Exact and natural sciences