Basis property of the Legendre polynomials in variable exponent Lebesgue spaces

DOI10.4213/SM9891EzbMATH Open1543.42037MaRDI QIDQ6569585

M. G. Magomed-Kasumov, R. M. Gadzhimirzaev, Tadgidin N. Shakh-Emirov

Publication date: 9 July 2024

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

zbMATH Keywords

Lebesgue spacebasisLegendre polynomialsvariable exponentDini-Lipschitz condition

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) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

• Title not available (Why is that?)
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Topology of the space \(\mathcal L^{p(t)}([0,t])\)
• Orthogonal polynomials.
• The basis property of the Legendre polynomials in the variable exponent Lebesgue space $ L^{p(x)}(-1,1)$
• ON THE BASIS PROPERTY OF THE HAAR SYSTEM IN THE SPACE $ \mathscr{L}^{p(t)}(\lbrack0,\,1\rbrack)$ AND THE PRINCIPLE OF LOCALIZATION IN THE MEAN
• Calderón-Zygmund operators on generalized Lebesgue spaces Lp(⋅) and problems related to fluid dynamics
• The Mean Convergence of Orthogonal Series. I
• Mean Convergence of Orthogonal Series

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