02262nam 2200505 450 991079329670332120220527235425.01-4704-4817-3(CKB)4100000007133849(MiAaPQ)EBC5571102(Au-PeEL)EBL5571102(OCoLC)1064943337(RPAM)20691843(PPN)231946279(EXLCZ)99410000000713384920220527d2018 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierBellman function for extremal problems in BMOIIEvolution /Paata, Ivanisvili, [and three others]Providence, Rhode Island :American Mathematical Society,[2018]©20181 online resource (148 pages)Memoirs of the American Mathematical Society ;Volume 255, number 12201-4704-2954-3 Includes bibliographical references.Setting and sketch of proof -- Patterns for Bellman candidates -- Evolution of Bellman candidates -- Optimizers -- Related questions and further development.In a previous study, the authors built the Bellman function for integral functionals on the \mathrm{BMO} 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.Memoirs of the American Mathematical Society ;Volume 255, number 1220.Harmonic analysisHarmonic analysis.515.2433Ivanisvili Paata1988-1544051Stolyarov Dmitriy M.Vasyunin Vasily I.1948-Zatitskiy Pavel B.MiAaPQMiAaPQMiAaPQBOOK9910793296703321Bellman function for extremal problems in BMO3797937UNINA