P. Zatitskiy

activity

20092022

most citedGeometry and Dynamics of Admissible Metrics in Measure Spaces

7 citations · 29 across the 17 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.CA2021★ 2 cited

Sharp multiplicative inequalities with $BMO$ $II$

Vasily Vasyunin, Pavel Zatitskiy, Ilya Zlotnikov

We find the best possible constant $C$ in the inequality $∥ φ ∥_{L^{r}}^{\frac{p}{r}} \leq C ∥ φ ∥_{L^{p}}^{\frac{p}{r}} ∥ φ ∥_{BMO}^{1 - \frac{p}{r}}$ for all possible…

math.PR2021★ 4 cited

Sharp moment estimates for martingales with uniformly bounded square functions

Dmitriy Stolyarov, Vasily Vasyunin, Pavel Zatitskiy +1

We provide sharp bounds for the exponential moments and $p$ -moments, $1 ⩽ p ⩽ 2$ , of the terminate distribution of a martingale whose square function is uniformly bo…

Sharp multiplicative inequalities with BMO II

Sharp moment estimates for martingales with uniformly bounded square functions

Sharp multiplicative inequalities with $BMO$ $II$