A generalization for Fourier transforms of a theorem due to Marcinkiewicz

DOI10.1006/jmaa.2000.7094zbMath0976.42006OpenAlexW1972862152MaRDI QIDQ1840536

Ferenc Weisz

Publication date: 28 December 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7094

zbMATH Keywords

Fourier transformmaximal operatoratomic decompositiontempered distributionHardy-Lorentz spaceRiesz transformMarcinkiewicz means

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) Maximal functions, Littlewood-Paley theory (42B25) Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) (H^p)-spaces (42B30)

Related Items (5)

Lebesgue points of two-dimensional Fourier transforms and strong summability ⋮ On almost everywhere convergence and divergence of Marcinkiewicz-like means of integrable functions with respect to the two-dimensional Walsh system ⋮ \(\ell_{1}\)-summability of \(d\)-dimensional Fourier transforms ⋮ Marcinkiewicz-summability of multi-dimensional Fourier transforms and Fourier series ⋮ Almost everywhere convergence of Fejér means of two-dimensional triangular Walsh-Fourier series

Cites Work

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• Interpolation between \(L^\infty\) and \(H^1\), the real method
• Martingale Hardy spaces and their applications in Fourier analysis
• Cesàro summability of multi-dimensional trigonometric-Fourier series
• \(H^p\) spaces of several variables
• A characterization of $H^{p}(R^{n})$ in terms of atoms
• Riesz means of Fourier transforms and Fourier series on Hardy spaces
• Interpolation Between H p Spaces: The Real Method
• A GENERALIZATION OF A THEOREM OF MARCINKIEWICZ

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