Bellman Function for Extremal Problems in BMO II: Evolution

ISBN-13: 9781470429546 / Angielski

Paata Ivanisvili;Dmitriy M. Stolyarov;Vasily I. Vasyunin

Opis

In a previous study, the authors built the Bellman function for integral functionals on the $mathrm$ space. The present paper provides a development of the subject. They abandon the majority of unwanted restrictions on the function that generates the functional. It is the new evolutional approach that allows the authors to treat the problem in its natural setting. What is more, these new considerations lighten dynamical aspects of the Bellman function, in particular, the evolution of its picture.

Spis treści

• Introduction
• Setting and sketch of proof
• Patterns for Bellman candidates
• Evolution of Bellman candidates
• Optimizers
• Related questions and further development
• Bibliography
• Index