Bellman Functions on Simple Non-Convex Domains in the Plane

von Paata Ivanisvili, Dmitriy Stolyarov, Vasily Vasyunin, Pavel Zatitskii

131 Seiten, Hardcover

Kurzbeschreibung des Verlags

This memoir provides a generalization of the authors' previous work on Bellman functions for integral functionals on \mathrm{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 the classes like \mathrm{BMO}, A_p, or the Gehring classes.

• Reihe: Memoirs of the European Mathematical Society
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein
• ISBN: 9783985471065
• Sprache: Englisch
• Erscheinungsdatum: 01.07.2026
• Größe: 24 x 17 cm
• Verlag: EMS Press