Basicity of a system of exponents with a piecewise linear phase in variable spaces
type: Item
instance of: scholarly article
title: Basicity of a system of exponents with a piecewise linear phase in variable spaces
zbMATH Open document ID: 1267.30007
author: Zafar G. Guseynov
author: Bilal Bilalov
published in: Mediterranean Journal of Mathematics
publication date: 2012-11-15T00:00:00Z
review text: The authors consider the following system of exponents \((e^{i(nt+\lambda_n(t))} )_{n\in \mathbb Z},\) where \(\lambda_n(t)= -{\text{sgn}} \, n (\alpha t + \beta \, {\text{sgn}}\, t)\), \(t \in [-\pi, \pi]\), \(\alpha, \beta \in \mathbb C\). They study basicity, completeness, and minimality of this system in the Lebesgue spaces \(L_{p_t}\) of functions with variable summability exponent \(p(t)\).
Mathematics Subject Classification ID: 30B60
Mathematics Subject Classification ID: 46A35
zbMATH DE Number: 6107823
zbMATH Keywords: variable exponent
zbMATH Keywords: bases of exponents
reviewed by: Fritz Haslinger
MaRDI profile type: Publication
full work available at URL: s00009-011-0135-7
OpenAlex ID: W2045427543
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DOI: 10.1007/S00009-011-0135-7
description: scientific article; zbMATH DE number 6107823