Abstract

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

Original languageEnglish
Pages (from-to)1-148
Number of pages148
JournalMemoirs of the American Mathematical Society
Volume255
Issue number1220
DOIs
Publication statusPublished - 1 Sep 2018

Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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