On the rate of almost everywhere convergence of certain classical integral means

DOI10.1006/JATH.1998.3285zbMath0941.42001OpenAlexW2083146120MaRDI QIDQ1293268

Walter Trebels, Alexander Stokolos

Publication date: 1 August 2000

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

Full work available at URL: https://doi.org/10.1006/jath.1998.3285

zbMATH Keywords

Fourier transformconvolutionBochner-Riesz meansintegral meansmultiplier operatorAbel-Poisson meansGauss-Weierstrass meansrate of almost everywhere convergencemultiplier generator

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Summability in several variables (42B08) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (3)

On the rate of almost everywhere convergence of certain classical integral means. II ⋮ A study on a class of generalized Schrödinger operators ⋮ On the rate of almost everywhere convergence of Abel-Cartwright means of \(L^p (\mathbb{R}^n)\)

Cites Work

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• On maximal functions generated by Fourier multipliers
• On localized potential spaces
• On the order of approximation of functions of \(H^ p({\mathbb{R}})\) \((0<p\leq 1)\) by certain means of Fourier integrals
• On the rate of convergence of certain summability methods for Fourier integrals of \(L^ 2\)-functions
• On the rate of almost everywhere convergence of Abel-Cartwright means of \(L^p (\mathbb{R}^n)\)
• On quasiradial Fourier multiplier and their maximal functions.
• Almost Everywhere Summability of Fourier Integrals

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