Strong approximation via Sidon type inequalities
type: Item
instance of: scholarly article
title: Strong approximation via Sidon type inequalities
zbMATH Open document ID: 0910.42015
published in: Journal of Approximation Theory
publication date: 1999-04-12T00:00:00Z
review text: The authors continue to explore the relation between Sidon inequalities and strong summability. After establishing a duality theorem which serves as a mechanism for translating Sidon type inequalities into estimates of strong means of Fourier series and vice versa, they establish some very powerful, general results about strong summability (including strong oscillation as measured by de la Vallée Poisson means) in a variety of spaces including Hardy spaces and BMO. The methods are so general that they apply equally well to the trigonometric, Walsh, Ciesielski, and UDMD systems.
reviewed by: William R. Wade
Mathematics Subject Classification ID: 42C10
zbMATH DE Number: 1214026
zbMATH Keywords: Walsh series
zbMATH Keywords: Ciesielski series
zbMATH Keywords: dyadic Hardy spaces
zbMATH Keywords: Sidon inequalities
zbMATH Keywords: strong summability
zbMATH Keywords: BMO
zbMATH Keywords: UDMD
author: Sándor Fridli
author: Ferenc Schipp
MaRDI profile type: Publication
full work available at URL: jath.1998.3185
OpenAlex ID: W2057609959
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DOI: 10.1006/JATH.1998.3185
description: scientific article; zbMATH DE number 1214026