61 citations · 580 across the 120 of their papers we have counts for
136 papers
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…
The matrix conjecture fails, i.e.
Komla Domelevo, Stefanie Petermichl, Sergei Treil +1
We show that the famous matrix conjecture is false: the norm of the Hilbert Transform in the space with matrix weight is estimated below by .
Dimension-free discretizations of the uniform norm by small product sets
Lars Becker, Ohad Klein, Joseph Slote +2
Let be an analytic polynomial of degree at most . A classical inequality of Bernstein compares the supremum norm of over the unit circle to its supremum norm over the…
Stability and the equality case in the B-theorem
Orli Herscovici, Galyna V. Livshyts, Liran Rotem +1
In this paper, we show the stability, and characterize the equality cases in the strong B-inequality of Cordero-Erasquin, Fradelizi and Maurey \cite{B-conj}. As an application, we…
A dimension-free discrete Remez-type inequality on the polytorus
Joseph Slote, Alexander Volberg, Haonan Zhang
Consider a function from the -fold product of multiplicative cyclic groups of order . Any such may be extended via its Fourier expansion to an an…