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 2019 · math.CAShow all

3 papers · 2 filters

math.CA2019★ 6 cited

Decoupling for two quadratic forms in three variables: a complete characterization

Shaoming Guo, Changkeun Oh, Joris Roos +2

We prove sharp decoupling inequalities for all degenerate surfaces of codimension two in $R^{5}$ given by two quadratic forms in three variables. Together with previous work…

math.CA2019★ 1 cited

Modulation invariant operators

Pavel Zorin-Kranich

The first three results in this thesis are motivated by a far-reaching conjecture on boundedness of singular Brascamp-Lieb forms. Firstly, we improve over the trivial estimate for…

math.CA2019★ 7 cited

Decoupling for certain quadratic surfaces of low co-dimensions

Shaoming Guo, Pavel Zorin-Kranich

We prove sharp $ℓ^{p} L^{p}$ decoupling inequalities for $2$ quadratic forms in $4$ variables. We also recover several previous results (arXiv:1409.1634, arXiv:1501.07224, arXiv:…