On bases from perturbed system of exponents in Lebesgue spaces with variable summability exponent

DOI10.1186/1029-242X-2014-495zbMath1375.46011WikidataQ59321146 ScholiaQ59321146MaRDI QIDQ2405755

Togrul Muradov

Publication date: 26 September 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

perturbationvariable exponentsystem of exponentsgeneralized Lebesgue space

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) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

On bases from cosines in Lebesgue spaces with variable summability index

Cites Work

• Some aspects of approximation theory in the spaces \(L^{p(x)}(E)\)
• Topology of the space \(\mathcal L^{p(t)}([0,t)\)]
• Basicity of a system of exponents with a piecewise linear phase in variable spaces
• Bases of exponentials, cosines, and sines formed by eigenfunctions of differential operators
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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