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

collaborators

Showing 2020 · math.CAShow all

3 papers · 2 filters

math.CA2020★ 5 cited

Decoupling inequalities for quadratic forms

Shaoming Guo, Changkeun Oh, Ruixiang Zhang +1

We prove sharp $ℓ^{q} L^{p}$ decoupling inequalities for $p, q \in [2, \infty)$ and arbitrary tuples of quadratic forms. Connections to prior results on decoupling inequalities for qu…

math.CA2020

A variable coefficient multi-frequency lemma

Shaoming Guo, Pavel Zorin-Kranich

We show a variable coefficient version of Bourgain's multi-frequency lemma. It can be used to obtain major arc estimates for a discrete Stein--Wainger type operator considered by K…

math.CA2020★ 2 cited

Variational truncations of singular integrals on spaces of homogeneous type

Pavel Zorin-Kranich

We prove sharp weighted estimates for $r$ -variations of averages and truncated singular integrals on suitable spaces of homogeneous type, including homogeneous nilpotent Lie groups…