Basis properties of Lindqvist-Peetre functions in \(L^r(0,1)^n\)

DOI10.1007/S13163-016-0212-3zbMath1369.46013OpenAlexW2549505265MaRDI QIDQ506411

Özlem Bakşi, Petr Gurka, Jan Lang, Osvaldo Méndez

Publication date: 31 January 2017

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-016-0212-3

zbMATH Keywords

basis properties\(p,p'\)-Laplaciangeneralized \(p\)-trigonometric functions of Lindqvist and Peetre

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) Other functions coming from differential, difference and integral equations (33E30) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Fourier series and coefficients in several variables (42B05) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32) Exponential and trigonometric functions (33B10)

Related Items (4)

Basis properties of p-exponential function of Lindqvist and Peetre type ⋮ Inequalities for generalized trigonometric and hyperbolic functions with one parameter ⋮ Sharp exponential type inequalities for the arc lemniscate sine function with applications ⋮ A necessary and sufficient condition for the convexity of the one-parameter generalized inverse trigonometric sine function according to power mean

Cites Work

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• Basis properties of generalized trigonometric functions
• Properties of generalized trigonometric functions
• Some remarkable sine and cosine functions
• Basis properties of eigenfunctions of the 𝑝-Laplacian
• Summability of Multi-Dimensional Trigonometric Fourier Series

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