1 citations · 2 across the 11 of their papers we have counts for
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Trace inequalities for Sobolev martingales
Dmitriy Stolyarov
We study limiting trace inequalities in the style of Maz'ya and Meyers--Ziemer for Sobolev martingales. We develop the Bellman function approach to such estimates, which allows to…
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.
On Fourier multipliers with rapidly oscillating symbols
Dmitriy Stolyarov
We provide asymptotically sharp bounds for the norms of the Fourier multipliers with the symbols , where is a large parameter.
Inner and outer smooth approximation of convex hypersurfaces. When is it possible?
Daniel Azagra, Dmitriy Stolyarov
Let be a convex hypersurface (the boundary of a closed convex set with nonempty interior) in . We prove that contains no lines if and only if for every op…