Variation Type Characterization of Product Hardy Spaces

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Abstract

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 inte-grability of the Fourier transform.

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last seen: 2026-05-19T01:45:01.086888+00:00