The Hardy-Littlewood theorem for double Fourier-Haar series from mixed metric Lebesgue \(L_{\bar p}[0, 1]^2\) and net \(N_{\bar p,\bar q}(M)\) spaces
type: Item
instance of: scholarly article
title: The Hardy-Littlewood theorem for double Fourier-Haar series from mixed metric Lebesgue \(L_{\bar p}[0, 1]^2\) and net \(N_{\bar p,\bar q}(M)\) spaces
zbMATH Open document ID: 1499.42039
author: A. N. Bashirova
author: E. D. Nursultanov
published in: Analysis Mathematica
publication date: 2022-03-16T00:00:00Z
review text: This paper is one of the numerous ones where interactions between integrability and structural properties of functions and summability properties of its Fourier coefficients are studied. Transference of the study of the Hardy-Littlewood theorem from the trigonometric case to the case of the Fourier-Haar coefficients is a known topic. What is specific in the paper under review is not the multivariate (double to be precise) setting but obtaining the Hardy-Littlewood theorem in Lebesgue spaces with mixed metric and in anisotropic net spaces.
reviewed by: Elijah Liflyand
Mathematics Subject Classification ID: 42B05
Mathematics Subject Classification ID: 42A16
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 42B35
Mathematics Subject Classification ID: 46B70
zbMATH DE Number: 7491535
zbMATH Keywords: net space
zbMATH Keywords: Lebesgue space
zbMATH Keywords: anisotropic space
zbMATH Keywords: Fourier series
zbMATH Keywords: Haar system
MaRDI profile type: Publication
full work available at URL: s10476-022-0115-0
OpenAlex ID: W4214940559
Wikidata QID: Q113904556
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DOI: 10.1007/S10476-022-0115-0
description: scientific article; zbMATH DE number 7491535