Lebesgue Points and Summability of Higher Dimensional Fourier Series

DOI10.1007/978-3-030-74636-0zbMath1475.42017OpenAlexW3167323175MaRDI QIDQ4993589

Ferenc Weisz

Publication date: 15 June 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-74636-0

zbMATH Keywords

Fourier transformHardy spacessingular integralsLittlewood-Paley theoryconjugate seriesmaximal functionsconjugate functionsFourier-Stieltjes transforminterpolation between normed linear spacessummability and absolute summability of Fourier seriessummability and absolute summability of trigonometric seriessummability in several variables

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Interpolation between normed linear spaces (46B70) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Summability in several variables (42B08) Summability and absolute summability of Fourier and trigonometric series (42A24) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (4)

Mixed Norm Martingale Hardy Spaces and Applications in Fourier Analysis ⋮ Gabor frame characterizations of generalized modulation spaces ⋮ On the convergence of the Abel-Poisson means of multiple Fourier series ⋮ Generalization of Hardy–Littlewood maximal inequality with variable exponent

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