Marcinkiewicz-\(\theta\)-summability of Fourier transforms

DOI10.1023/A:1015673914063zbMath1048.42014OpenAlexW2914140667MaRDI QIDQ1878623

Ferenc Weisz

Publication date: 7 September 2004

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015673914063

zbMATH Keywords

interpolationFourier transformHardy spacemaximal operatorHardy-Lorentz spaceMarcinkiewicz-\(\theta\)-summation\(p\)-atom

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) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) (H^p)-spaces (42B30) Summability in several variables (42B08) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (2)

Multi-dimensional Fourier transforms, Lebesgue points and strong summability ⋮ Lebesgue points of two-dimensional Fourier transforms and strong summability

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