Research Article
Variation Type Characterization of Product Hardy Spaces
https://doi.org/10.21203/rs.3.rs-3235509/v1
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published 06 Feb, 2024
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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.
Fourier transform
Hilbert transform
Riesz transform
bounded variation
real Hardy space
product Hardy space
Hardy inequality
Hardy variation
Tonelli variation.
No competing interests reported.
published 06 Feb, 2024
Read the published version in Analysis and Mathematical Physics →
Editorial decision: Revision requested
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You are reading this latest preprint version