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Hardy's inequalities for Hermite and Laguerre expansions
Author(s):
R.
Radha;
S.
Thangavelu
Journal:
Proc. Amer. Math. Soc.
132
(2004),
3525-3536.
MSC (2000):
Primary 42C10;
Secondary 42B30, 42C05, 33C45
Posted:
July 12, 2004
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Abstract:
Hardy's inequalities are proved for higher-dimensional Hermite and special Hermite expansions of functions in Hardy spaces. Inequalities for multiple Laguerre expansions are also deduced.
References:
-
- 1.
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- Y. Kanjin, Hardy's inequalities for Hermite and Laguerre expansions, Bull. London Math. Soc. 29 (1997), 331 - 337. MR 98f:42024
- 3.
- G. Mauceri, M. A. Picardello and F. Ricci, A Hardy space associated with twisted convolution, Adv. Math. 39 (1981), 270 - 288. MR 83e:42026
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- R. Radha, Hardy type inequalities, Taiwanese J. Math 4 (2000), 447 - 456. MR 2002f:33013
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- E. M. Stein, Harmonic Analysis, Princeton University Press, Princeton, NJ, 1993. MR 95c:42002
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Additional Information:
R.
Radha
Affiliation:
School of Mathematics, Anna University, Chennai - 600 025, India
Address at time of publication:
Department of Mathematics, Indian Institute of Technology, Chennai - 600 036, India
Email:
radharam@annauniv.edu
S.
Thangavelu
Affiliation:
Stat-Math Unit, Indian Statistical Institute, 8th Mile, Mysore Road (R.V. College Post), Bangalore - 560 059, India
Email:
veluma@isibang.ac.in
DOI:
10.1090/S0002-9939-04-07554-9
PII:
S 0002-9939(04)07554-9
Keywords:
Hardy spaces,
Hermite,
special Hermite and Laguerre functions,
twisted convolution
Received by editor(s):
February 18, 2002
Received by editor(s) in revised form:
October 14, 2002
Posted:
July 12, 2004
Communicated by:
Andreas Seeger
Copyright of article:
Copyright
2004,
American Mathematical Society
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