Basis property of the Haar system in weighted Lebesgue spaces with variable exponent

DOI10.1134/S0001434624050109zbMATH Open1547.42055MaRDI QIDQ6576761

M. G. Magomed-Kasumov

Publication date: 23 July 2024

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Haar systembasis propertyweightLebesgue space with variable exponent

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) Function spaces arising in harmonic analysis (42B35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

• 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
• Topology of the space \(\mathcal L^{p(t)}([0,t])\)
• Eine Eigenschaft des Haarschen Orthogonalsystems.
• Approximation by Haar and Walsh polynomials in weighted variable exponent Lebesgue spaces
• 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
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