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arXiv · 2212.00090

The dyadic and the continuous Hilbert transforms with values in Banach spaces

Komla Domelevo·Stefanie Petermichl
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Abstract

We show that if the Hilbert transform with values in a Banach space is $L^p$ bounded, then so is the dyadic Hilbert transform, with a linear relation of the norms.

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Komla Domelevo, Stefanie Petermichl. 2022-11-30. The dyadic and the continuous Hilbert transforms with values in Banach spaces. https://arxiv.org/abs/2212.00090

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