The Convergence of the Fourier–Jacobi Series in Weighted Variable Exponent Lebesgue Spaces
DOI10.1007/978-3-030-49763-7_16zbMath1479.42009OpenAlexW3120541258MaRDI QIDQ5013607
R. M. Gadzhimirzaev, T. N. Shakh-Émirov
Publication date: 2 December 2021
Published in: Trends in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-49763-7_16
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) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20)
Cites Work
- Unnamed Item
- Variable Lebesgue spaces. Foundations and harmonic analysis
- Lebesgue and Sobolev spaces with variable exponents
- Some aspects of approximation theory in the spaces \(L^{p(x)}(E)\)
- Topology of the space \(\mathcal L^{p(t)}([0,t)\)]
- Approximation by matrix transforms in weighted Lebesgue spaces with variable exponent
- The basis property of ultraspherical Jacobi polynomials in a weighted Lebesgue space with variable exponent
- Trigonometric approximation in generalized Lebesgue spaces L^p(x)
- The basis property of the Legendre polynomials in the variable exponent Lebesgue space $ L^{p(x)}(-1,1)$
- Calderón-Zygmund operators on generalized Lebesgue spaces Lp(⋅) and problems related to fluid dynamics
- Approximation of functions in $ L^{p(x)}_{2\pi}$ by trigonometric polynomials
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