期刊
COMPTES RENDUS MATHEMATIQUE
卷 346, 期 21-22, 页码 1137-1142出版社
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.crma.2008.07.029
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资金
- Gelbart Research Institute for Mathematical Sciences at Bar-Ilan University
- Scuola Normale Superiore
- RFFI [06-01-00268, 08-01-00302]
- NSH [2787.2008.1]
- ICREA Funding Source: Custom
Weighted L-p -> L-q Fourier inequalities are studied. We prove Boas' conjecture on integrability with power weights of the Fourier transform. One-dimensional as well as multidimensional versions (for radial functions) are obtained for general monotone functions. To cite this article: E. Liflyand, S. Tikhonov, C R. Acad. Sci. Paris, Ser. I 346 (2008). (C) 2008 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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