P. Zatitskiy

activity

20182022

most citedThe shape evolution of cometary nuclei via anisotropic mass loss

4 citations · 4 across the 3 of their papers we have counts for

collaborators

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3 papers · 1 filter

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.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

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…

On locally concave functions on simplest non-convex domains

Sharp mutliplicative inequalities with BMO I

Sharp transference principle for BMO and Ap​

Sharp mutliplicative inequalities with $BMO$ $I$

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