The maximal Riesz operator of two-dimensional Fourier transforms and Fourier series on \(H_p (\mathbb{R} \times \mathbb{R})\) and \(H_p (\mathbb{T} \times \mathbb{T})\)
DOI10.1006/jath.1999.3375zbMath0963.42014OpenAlexW2094856736MaRDI QIDQ1969969
Publication date: 22 June 2001
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jath.1999.3375
interpolationFourier transformmaximal operatoratomic decompositionRiesz meansFourier seriestempered distributionconjugate operatorHardy-Lorenz space
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) Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) (H^p)-spaces (42B30) Fourier series and coefficients in several variables (42B05)
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