Real Hardy space, multidimensional variations, and integrability of the Fourier transform

DOI10.1007/s11785-020-01021-2OpenAlexW3048541430MaRDI QIDQ2007031

Gianluca Vinti, Elijah Liflyand, Laura Angeloni

Publication date: 12 October 2020

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-020-01021-2

zbMATH Keywords

Fourier transformHardy spaceHilbert transformbounded variationabsolute continuityRiesz transformTonelli 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)

Related Items (1)

Variation type characterization of product Hardy spaces

Cites Work

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• Lectures on Fourier Integrals. (AM-42)
• Absolutely Continuous Functions of Two Variables and Well-Bounded Operators
• Convergence in variation and a characterization of the absolute continuity
• Decay of the Fourier Transform

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