Hardy’s inequalities for Hermite and Laguerre expansions
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- by R. Radha and S. Thangavelu PDF
- Proc. Amer. Math. Soc. 132 (2004), 3525-3536 Request permission
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
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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
- Received by editor(s): February 18, 2002
- Received by editor(s) in revised form: October 14, 2002
- Published electronically: July 12, 2004
- Communicated by: Andreas Seeger
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 3525-3536
- MSC (2000): Primary 42C10; Secondary 42B30, 42C05, 33C45
- DOI: https://doi.org/10.1090/S0002-9939-04-07554-9
- MathSciNet review: 2084073