New Bellman induction and a weak version of $\mathrm{BMO}$
Classical Analysis and ODEs
2024-04-03 v1 Analysis of PDEs
Abstract
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 application, we consider a characteristic of a function that is much smaller than the norm, but whose finiteness leads to the exponential integrability of the function.
Cite
@article{arxiv.2404.01707,
title = {New Bellman induction and a weak version of $\mathrm{BMO}$},
author = {Egor Dobronravov and Dmitriy Stolyarov and Pavel Zatitskii},
journal= {arXiv preprint arXiv:2404.01707},
year = {2024}
}
Comments
19 pages