3 papers
math.CA2026
Structure of Minimal Locally Concave Functions
Egor Dobronravov
We propose a theory describing the structure of minimal locally concave functions on an arbitrary subdomain of . We introduce the notion of an extremal set, that is,…
math.CA2024
New Bellman induction and a weak version of
Egor Dobronravov, Dmitriy Stolyarov, Pavel Zatitskii
We enlarge the area of applicability of the Bellman function method to estimates in the spirit of the John--Nirenberg inequality abandoning certain convexity assumptions. As an app…
math.CA2023
A sharp symmetric integral form of the John-Nirenberg inequality
Egor Dobronravov
We find sharp constants in the symmetric integral form of the John-Nirenberg inequality. The result is based upon computation of a new interesting Bellman function.