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math.FA2022
The dyadic and the continuous Hilbert transforms with values in Banach spaces
Komla Domelevo, Stefanie Petermichl
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.
math.PR2022
Continuous sparse domination and dimensionless weighted estimates for the Bakry Riesz vector
Komla Domelevo, Stefanie Petermichl, Kristina Ana Škreb
We present a fundamentally new proof of the dimensionless Lp boundedness of the Bakry Riesz vector on manifolds with bounded geometry. Our proof has the significant advantage that…