Perturbation of orthogonal Fourier expansions

DOI10.1006/jath.1997.3129zbMath0927.42011OpenAlexW1998531474MaRDI QIDQ1385388

José J. Guadalupe Hernandez, Mario Pérez Riera

Publication date: 28 November 1999

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d9a844a8643878220634909087fae94ebc155c33

zbMATH Keywords

Fourier expansionBessel functionsBMO spacegeneralized Jacobi weights

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) General harmonic expansions, frames (42C15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (8)

Calderón-Zygmund estimate for homogenization of steady state Stokes systems in nonsmooth domains ⋮ An end-point global gradient weighted estimate for quasilinear equations in non-smooth domains ⋮ Asymptotic behaviour of Verblunsky coefficients ⋮ Weighted and regularity estimates for nonlinear equations on Reifenberg flat domains ⋮ Quasilinear Riccati type equations with distributional data in Morrey space framework ⋮ Sharp gradient estimates for quasilinear elliptic equations with \(p(x)\) growth on nonsmooth domains ⋮ Elliptic equations with BMO nonlinearity in Reifenberg domains ⋮ Global estimates for quasilinear elliptic equations on Reifenberg flat domains

Cites Work

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• On orthogonal polynomials with perturbed recurrence relations
• Compact perturbations of orthogonal polynomials
• Necessary conditions for weighted mean convergence of Fourier series in orthogonal polynomials
• Toda flows with infinitely many variables
• Mean and weak convergence of Fourier-Bessel series
• Uniform Analyticity of Orthogonal Projections
• CONVERGENCE IN THE MEAN AND ALMOST EVERYWHERE OF FOURIER SERIES IN POLYNOMIALS ORTHOGONAL ON AN INTERVAL
• Mean Convergence of Jacobi Series
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
• The Mean Convergence of Orthogonal Series. II

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