Integral functionals on BMO and Bellman function

Pavel Zatitskii
ENS Paris, SPbSU and PDMI RAS
https://scholar.google.com/citations?user=y3THZnwAAAAJ&hl=fr

Date(s) : 13/02/2017   iCal
11 h 15 min - 12 h 15 min

In this talk 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 inequality and Lp estimations of BMO functions. In the present paper we elaborate a method of solving the boundary value problem for the homogeneous Monge–Ampère equation in a parabolic strip for sufficiently smooth boundary conditions. In such a way we have obtained an algorithm of constructing an exact Bellman function for a large class of integral functionals in the BMO space.

https://arxiv.org/abs/1205.7018

Catégories



Retour en haut