2024/04/02 by Egor Dobronravov, Dobronravov, Egor, Dmitriy Stolyarov +3
Computer Science · Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Cellular Automata and Applications #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.2404.01707
openalex publication_date 2024/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 BMO norm, but whose finiteness leads to the exponential integrability of the function.