The dyadic and the continuous Hilbert transforms with values in Banach spaces
Komla Domelevo, Stefanie Petermichl·2022-12-01·via math.PR updates on arXiv.org
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.