The dyadic and the continuous Hilbert transforms with values in Banach spaces
Functional Analysis
2023-03-28 v2 Probability
Abstract
We show that if the Hilbert transform with values in a Banach space is bounded, then so is the dyadic Hilbert transform, with a linear relation of the norms.
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Cite
@article{arxiv.2212.00090,
title = {The dyadic and the continuous Hilbert transforms with values in Banach spaces},
author = {Komla Domelevo and Stefanie Petermichl},
journal= {arXiv preprint arXiv:2212.00090},
year = {2023}
}
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