Approximation by Haar and Walsh polynomials in weighted variable exponent Lebesgue spaces

DOI10.1007/S00025-022-01683-8OpenAlexW4283460473WikidataQ114231944 ScholiaQ114231944MaRDI QIDQ2152607

Sergey S. Volosivets

Publication date: 8 July 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-022-01683-8

zbMATH Keywords

Walsh systemHaar systemMuckenhoupt weightsdirect approximation theoremweighted variable exponent spacelinear means of Walsh-Fourier series

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Trigonometric approximation (42A10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

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• Approximation of polynomials in the Haar system in weighted symmetric spaces
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Lebesgue and Sobolev spaces with variable exponents
• Approximation of functions and their conjugates in \(L^p\) and uniform metric by Euler means
• On trigonometric approximation of functions in the \(L^{q}\) norm
• Extrapolation and weighted norm inequalities in the variable Lebesgue spaces
• Approximation of functions in variable-exponent Lebesgue and Sobolev spaces by finite Fourier-Haar series
• Weighted Norm Inequalities for Vilenkin-Fourier Series
• Approximation by trigonometric polynomials in weighted Orlicz spaces
• Weighted Norm Inequalities for the Hardy Maximal Function

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