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

20 papers

math.CA2022

On locally concave functions on simplest non-convex domains

Dmitriy Stolyarov, Pavel Zatitskiy

We prove that certain Bellman functions of several variables are the minimal locally concave functions. This generalizes earlier results about Bellman functions of two variables.

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…

math.CA2020

Sharp mutliplicative inequalities with $BMO$ $I$

Dmitriy Stolyarov, Vasily Vasyunin, Pavel Zatitskiy

We find the best possible constant $C$ in the inequality $∥ φ ∥_{L^{r}} \leq C ∥ φ ∥_{L^{p}}^{\frac{p}{r}} ∥ φ ∥_{BMO}^{1 - \frac{p}{r}}$ , where $2 \leq r$ and $p < r$ . We employ t…

math.CA2019★ 1 cited

Sharp transference principle for $BMO$ and $A_{p}$

Dmitriy Stolyarov, Pavel Zatitskiy

We provide a version of the transference principle. It says that certain optimization problems for functions on the circle, the interval, and the line have the same answers. In par…

astro-ph.EP2018★ 4 cited

The shape evolution of cometary nuclei via anisotropic mass loss

D. E. Vavilov, S. Eggl, Yu. D. Medvedev +1

Context. Breathtaking imagery recorded during the European Space Agency's Rosetta mission confirmed the bilobate nature of comet 67P/Churyumov-Gerasimenko's nucleus. Its peculiar a…