Multiple Fourier transforms and trigonometric series in line with Hardy’s variation

DOI10.1090/conm/659/13147zbMath1347.42020OpenAlexW4248504733MaRDI QIDQ3187427

Elijah Liflyand

Publication date: 2 September 2016

Published in: Nonlinear Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/659/13147

zbMATH Keywords

Hardy spaceFourier transformsHilbert transformmultiple trigonometric seriesbounded Hardy variation

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) (H^p)-spaces (42B30) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier series and coefficients in several variables (42B05) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (7)

Asymptotic Behavior of the Fourier Transform of a Function of Bounded Variation ⋮ The double Fourier transform of non-Lebesgue integrable functions of bounded Hardy-Krause variation ⋮ Variation type characterization of product Hardy spaces ⋮ MULTIDIMENSIONAL FOURIER TRANSFORMS ON AN AMALGAM TYPE SPACE ⋮ Asymptotics of the Fourier sine transform of a function of bounded variation ⋮ Re-expansions on compact Lie groups ⋮ Real Hardy space, multidimensional variations, and integrability of the Fourier transform

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