Two Notes on Convergence and Divergence A.E. of Fourier Series with Respect to Some Orthogonal Systems

DOI10.2307/2159752zbMath0756.42017OpenAlexW4255022055MaRDI QIDQ4022136

Juan Luis Varona, Francisco J. Ruiz, Mario Pérez Riera, José J. Guadalupe Hernandez

Publication date: 17 January 1993

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2159752

zbMATH Keywords

convergenceBessel systemmaximal operatorsFourier seriesdivergenceFourier-Bessel seriesFourier-Jacobi series\(A_ p\)-weightsboundedness in weighted \(L^ p\) spacessystem of orthonormal polynomials

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (9)

On orthogonal expansions with respect to the generalized Jacobi weight ⋮ Weighted norm inequalities for polynomial expansions associated to some measures with mass points ⋮ A Cohen type inequality for Fourier expansions of orthogonal polynomials with a nondiscrete Jacobi-Sobolev inner product ⋮ Relating multipliers and transplantation for Fourier-Bessel expansions and Hankel transform ⋮ Asymptotic properties and Fourier expansions of orthogonal polynomials with a non-discrete Gegenbauer-Sobolev inner product ⋮ Transplantation theorems -- a survey ⋮ Mean convergence of Fourier-Dunkl series ⋮ Transplantation and multiplier theorems for Fourier-Bessel expansions ⋮ Fourier-Jacobi expansions in Morrey spaces

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