On basicity of perturbed system of exponents in Lebesgue space with variable summability factor

DOI10.1134/S1064562412020184zbMath1260.46007MaRDI QIDQ1760984

Xianqiang Yang

Publication date: 15 November 2012

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

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) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (1)

The basis property of a perturbed system of exponentials in Morrey-type spaces

Cites Work

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• Some aspects of approximation theory in the spaces \(L^{p(x)}(E)\)
• On the Trotter--Kato theorem in a variable space
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• The basis property of the Legendre polynomials in the variable exponent Lebesgue space $ L^{p(x)}(-1,1)$
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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