Variation type characterization of product Hardy spaces

Laura Angeloni; Elijah Liflyand; Gianluca Vinti

doi:10.1007/s13324-024-00869-3

Variation type characterization of product Hardy spaces

Laura Angeloni
, Elijah Liflyand
, Gianluca Vinti

Department of Mathematics

University of Perugia

Research output: Contribution to journal › Article › peer-review

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 integrability of the Fourier transform.

Original language	English
Article number	12
Journal	Analysis and Mathematical Physics
Volume	14
Issue number	2
DOIs	https://doi.org/10.1007/s13324-024-00869-3
State	Published - Apr 2024

Bibliographical note

Publisher Copyright:
© The Author(s) 2024.

Keywords

26B30
42A38
42A50
42B10
42B20
42B30
42B35
Bounded variation
Fourier transform
Hardy inequality
Hardy variation
Hilbert transform
Product Hardy space
Real Hardy space
Riesz transform
Tonelli variation

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10.1007/s13324-024-00869-3

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KW - Hilbert transform

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KW - Riesz transform

KW - Tonelli variation

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Variation type characterization of product Hardy spaces

Abstract

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Keywords

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