Publication series : Memoirs of the American Mathematical Society
Author: Paata Ivanisvili;Dmitriy M. Stolyarov;Vasily I. Vasyunin
Publisher: American Mathematical Society
Publication year: 2018
E-ISBN: 9781470448172
P-ISBN(Paperback): 9781470429546
Subject: O1 Mathematics
Keyword: 数学
Language: ENG
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Bellman Function for Extremal Problems in BMO II: Evolution
Description
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.
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