Variation type characterization of product Hardy spaces

Laura Angeloni,Elijah Liflyand,Gianluca Vinti

ANALYSIS AND MATHEMATICAL PHYSICS（2024）

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摘要

In the multidimensional Euclidean space, except the classical real Hardy space, there are numerous product ones. We associate with each of them a class of functions related to the known variations and new ones. Such a characterization is fulfilled by means of the integrability of the Fourier transform

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关键词

Fourier transform,Hilbert transform,Riesz transform,Bounded variation,Real Hardy space,Product Hardy space,Hardy inequality,Hardy variation,Tonelli variation

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