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Triebel-Lizorkin spaces associated with Laguerre and Hermite expansions

Author(s): Jacek Dziubanski
Journal: Proc. Amer. Math. Soc. 125 (1997), 3547-3554.
MSC (1991): Primary 42C10; Secondary 42C15, 22E10, 42B25
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Abstract: It is proved that Triebel-Lizorkin spaces for some Laguerre and Hermite expansions are well-defined.

References:

[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 Wroclawski, Plac Grunwaldzki 2/4, 50-384 Wroclaw, Poland
Email: jdziuban@math.uni.wroc.pl

DOI: 10.1090/S0002-9939-97-03950-6
PII: S 0002-9939(97)03950-6
Received by editor(s): May 15, 1996
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1997, American Mathematical Society

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