New Bellman induction and a weak version of $\mathrm{BMO}$

Autor:	Dobronravov, Egor, Stolyarov, Dmitriy, Zatitskii, Pavel
Rok vydání:	2024
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	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 $\mathrm{BMO}$ norm, but whose finiteness leads to the exponential integrability of the function. Comment: 19 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.01707 Zobrazit plný text záznamu View this record from Arxiv