Bellman Functions on Simple Non-Convex Domains in the Plane

Memoirs of the European Mathematical Society 2026 Book Open access

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Authors: Paata Ivanisvili, Dmitriy Mikhailovich Stolyarov, Vasily I. Vasyunin, Pavel Borisovich Zatitskii
DOI: 10.4171/mems/30
Cited by: 1

Abstract

The present memoir provides a generalization of the authors' previous work on Bellman functions for integral functionals on BMO.Those Bellman functions are the minimal locally concave functions on parabolic strips in the plane.We describe an algorithm for constructing minimal locally concave functions on a planar domain that is a difference of two unbounded convex domains.This leads to many sharp estimates for functions in classes such as BMO, A p , or the Gehring classes.

Fields of Study & Subjects

Advanced Mathematical Modeling in Engineering Analytic and geometric function theory Advanced Harmonic Analysis Research

Publication details

Journal / source
Memoirs of the European Mathematical Society
Publisher
EMS Press
Publication date
7 July 2026
Language
EN
Document type
Book