Triebel-lizorkin spaces associated with laguerre and hermite expansions

Proceedings of the American Mathematical Society

Volumn 125, Issue 12, 1997, Pages 3547-3554

  Dziubański, Jacek ^a,b  

^a WASHINGTON UNIVERSITY   (United States)

^b UNIVERSITY OF WROC AW   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646750621     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-97-03950-6     Document Type: Article

References (11)

1. [D] J. Dlugosz, Almost everywhere convergence of some summability methods for Laguerre series, Studio. Math. 82 (1985), 199-209. MR 87d:42040
2. [E1] J. Epperson, Triebet-Lizorkin spaces for Hermite expansion, Studia Math. 114 (1995), 87-103. MR 96c:42059
3. [E2] J. Epperson, Hermite and Laguerre Wave Packet Expansions, preprint.
4. [FeS] C. Fefferman and E. Stein, Some maximal inequalities, Amer.J. Math. 93 (1972), 107-115.
5. [FS] G. Folland and E. Stein, Hardy Spaces on Homogeneous Groups, Princeton University Press, 1982. MR 87h:43027
6. [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
7. [H] A. Hulanicki, A functional calculus for Rockland operators on nilpotent Lie groups, Studia Math. 78 (1984), 253-266. MR 8Gg:22009
8. [HJ] A. Hulanicki and J.W. Jenkins, Almost everywhere summability on nilmanifolds, Trans. Amer. Math. Soc. 278 (1983), 703-715. MR 85f:22011
9. [P] J. Peetre, On space of Triebel-Lizorkin type, Ark. Math. 13 (1975), 123-130. MR 52:1294
10. [T] S. Thangavelu, Lectures on Hermite and Laguerre Expansions, Math. Notes 42, Princeton Univ. Press, 1993. MR 94i:42001
11. [Tr] H. Triebel, Theory of Function Spaces, Monographs Math. 78. Birkhauser, Basel 1983. MR 86j:46026