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Matematicheskie Zametki, 2001, Volume 70, Issue 6, Pages 941–947
DOI: https://doi.org/10.4213/mzm805 (Mi mzm805) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Multidimensional Versions of Paley's Inequality

V. A. Yudin

Moscow Power Engineering Institute (Technical University)
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DOI: https://doi.org/10.4213/mzm805
Abstract: For trigonometric polynomials of two variables whose spectrum lies both in the interior and on the boundary of a strictly convex domain, the lower bounds of their norms on $L$ are given. They are expressed in terms of the Fourier coefficients whose numbers are located on the boundary.
Received: 23.03.2000
Revised: 02.04.2001
English version:
Mathematical Notes, 2001, Volume 70, Issue 6, Pages 860–865
DOI: https://doi.org/10.1023/A:1012924204372
Bibliographic databases:
UDC: 517
Language: Russian
Citation: V. A. Yudin, “Multidimensional Versions of Paley's Inequality”, Mat. Zametki, 70:6 (2001), 941–947; Math. Notes, 70:6 (2001), 860–865
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Математические заметки Mathematical Notes
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