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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014 Number 3, Pages 8–14 (Mi vmumm316)
This article is cited in 1 paper

Mathematics

Paley inequality for Bellman transform of multiple Fourier series

A. M. Zhantakbayevaa, E. D. Nursultanovb

a L. N. Gumilev Eurasian National University, Astana
b Kazakhstan Branch of Lomonosov Moscow State University, Astana

Abstract: A root estimate is obtained for the Hardy–Littlewood–Paley inequality for Bellman type averages of Fourier coefficients of functions from anisotropic Lorentz spaces.

Key words: anisotropic Lorentz spaces, Hardy–Littlewood–Paley inequality, Fourier coefficients.

UDC: 517.52

Received: 26.04.2012


 English version: Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2014, 69:3, 94–99

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© Steklov Math. Inst. of RAS, 2024