77 citations · 243 across the 38 of their papers we have counts for
43 papers
A stochastic Carleson embedding theorem with constant and the vector of Riesz transforms
Komla Domelevo, Johanna Fladung, Spyridon Kakaroumpas +2
We prove a continuous-time Carleson embedding theorem with constant for a system of square-integrable continuous martingales whose quadratic covariations mimic the generalised…
Invariant sets of the double Hilbert transform
Evgeny Abakumov, Komla Domelevo, Stefanie Petermichl +1
We present an example that shows that the double Hilbert transform $\H$ can have the characteristic function of an open set of finite measure in as a…
The sharp bound for the imaginary part of the Beurling-Ahlfors operator on the lattice
Komla Domelevo, Stefanie Petermichl
We prove the sharp bound for certain second-order discrete Riesz transforms on products of integers, in all dimensions. The family includes the imaginary part…
Dimension-free bounds for Riesz transforms on the Hamming cube via a Bellman function
Komla Domelevo, Paata Ivanisvili, Stefanie Petermichl +1
We give a Bellman-function proof of the dimension-free estimate \[ \Big\| \vec{R} f \Big\|_{L^p(Ω;\,\ell^2)} \lesssim (p-1) \,\|f\|_{L^p(Ω)}, \qquad 2\le p<\infty, \] for the vecto…
The Poisson Matrix characteristic and the 3/2 blow up of the Hilbert transform
Komla Domelevo, Spyridon Kakaroumpas, Stefanie Petermichl +2
Recently the matrix conjecture was disproved. Indeed, the growth of the vector Hilbert transform in the matrix weighted space was shown to be at best a constant mult…
A twosided linear estimate and a dyadic reduction of the UMD Conjecture
Komla Domelevo, Stefanie Petermichl
We define a time faithful dyadic shift operator of complexity one, that is an antisymmetric antiinvolution. We show that the Hilbert transform with values in a Banach space is $L^p…