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Triebel-Lizorkin spaces associated with Laguerre and Hermite expansions


Author: Jacek Dziubanski
Journal: Proc. Amer. Math. Soc. 125 (1997), 3547-3554
MSC (1991): Primary 42C10; Secondary 42C15, 22E10, 42B25
DOI: https://doi.org/10.1090/S0002-9939-97-03950-6
MathSciNet review: 1403122
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Abstract: It is proved that Triebel-Lizorkin spaces for some Laguerre and Hermite expansions are well-defined.


References [Enhancements On Off] (What's this?)

  • [D] J. D{\l}ugosz, Almost everywhere convergence of some summability methods for Laguerre series, Studia Math. 82 (1985), 199-209. MR 87d:42040
  • [E1] J. Epperson, Triebel-Lizorkin spaces for Hermite expansion, Studia Math. 114 (1995), 87-103. MR 96c:42059
  • [E2] J. Epperson, Hermite and Laguerre Wave Packet Expansions, preprint.
  • [FeS] C. Fefferman and E. Stein, Some maximal inequalities, Amer.J. Math. 93 (1972), 107-115.
  • [FS] G. Folland and E. Stein, Hardy Spaces on Homogeneous Groups, Princeton University Press, 1982. MR 87h:43027
  • [FJW] M. Frazier, B. Jawerth, and G. Weiss, Littlewood-Paley Theory and the Study of Function Spaces, Conference Board of the Mathematical Sciences 79, AMS, (1991). MR 92m:42041
  • [H] A. Hulanicki, A functional calculus for Rockland operators on nilpotent Lie groups, Studia Math. 78 (1984), 253-266. MR 86g:22009
  • [HJ] A. Hulanicki and J.W. Jenkins, Almost everywhere summability on nilmanifolds, Trans. Amer. Math. Soc. 278 (1983), 703-715. MR 85f:22011
  • [P] J. Peetre, On space of Triebel-Lizorkin type, Ark. Math. 13 (1975), 123-130. MR 52:1294
  • [T] S. Thangavelu, Lectures on Hermite and Laguerre Expansions, Math. Notes 42, Princeton Univ. Press, 1993. MR 94i:42001
  • [Tr] H. Triebel, Theory of Function Spaces, Monographs Math. 78. Birkhäuser, Basel 1983. MR 86j:46026

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Additional Information

Jacek Dziubanski
Affiliation: Department of Mathematics, Washington University, St. Louis, Missouri 63130
Address at time of publication: Instytut Matematyczny, Uniwersytet Wrocławski, Plac Grunwaldzki 2/4, 50-384 Wrocław, Poland
Email: jdziuban@math.uni.wroc.pl

DOI: https://doi.org/10.1090/S0002-9939-97-03950-6
Received by editor(s): May 15, 1996
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1997 American Mathematical Society

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