7 citations · 29 across the 17 of their papers we have counts for
3 papers · 1 filter
On formula of regularized traces II
Alexander I. Nazarov, Dmitriy M. Stolyarov, Pavel B. Zatitskiy
We obtain a simple formula for the first-order trace of a regular differential operator on a segment perturbated by a multiplication operator. The main analytic ingredient of the p…
Bellman function for extremal problems in BMO
Paata Ivanisvili, Nikolay Osipov, Dmitriy Stolyarov +2
In this paper we develop the method of finding sharp estimates by using a Bellman function. In such a form the method appears in the proofs of the classical John--Nirenberg inequal…
Geometry and Dynamics of Admissible Metrics in Measure Spaces
A. Vershik, F. Petrov, P. Zatitskiy
We study a wide class of metrics in a Lebesgue space with a standard measure, the class of so-called admissible metrics. We consider the cone of admissible metrics, introduce a spe…