Pavel Zorin-Kranich

activity

20102024

most citedVariation estimates for averages along primes and polynomials

40 citations · 489 across the 52 of their papers we have counts for

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Showing 2017 · math.CAShow all

3 papers · 2 filters

math.CA2017★ 24 cited

Maximal polynomial modulations of singular integrals

Pavel Zorin-Kranich

Let $K$ be a standard Hölder continuous Calderón--Zygmund kernel on $R^{d}$ whose truncations define $L^{2}$ bounded operators. We show that the maximal operator ob…

math.CA2017

A Uniform Random Pointwise Ergodic Theorem

Ben Krause, Pavel Zorin-Kranich

Let $a_{n}$ be the random increasing sequence of natural numbers which takes each value independently with decreasing probability of order $n^{- α}$ , $0 < α < 1/2$ . We prove that, almo…

math.CA2017★ 22 cited

Square functions for bi-Lipschitz maps and directional operators

Francesco Di Plinio, Shaoming Guo, Christoph Thiele +1

First we prove a Littlewood-Paley diagonalization result for bi-Lipschitz perturbations of the identity map on the real line. This result entails a number of corollaries for the Hi…