Результаты исследований: Научные публикации в периодических изданиях › Обзорная статья › Рецензирование
Bellman function for extremal problems in BMO II : Evolution. / Ivanisvili, Paata; Stolyarov, Dmitriy M.; Vasyunin, Vasily I.; Zatitskiy, Pavel B.
в: Memoirs of the American Mathematical Society, Том 255, № 1220, 01.09.2018, стр. 1-148.Результаты исследований: Научные публикации в периодических изданиях › Обзорная статья › Рецензирование
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TY - JOUR
T1 - Bellman function for extremal problems in BMO II
T2 - Evolution
AU - Ivanisvili, Paata
AU - Stolyarov, Dmitriy M.
AU - Vasyunin, Vasily I.
AU - Zatitskiy, Pavel B.
PY - 2018/9/1
Y1 - 2018/9/1
N2 - 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.
AB - 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.
KW - Bellman function
KW - Bounded mean oscialltion
UR - http://www.scopus.com/inward/record.url?scp=85048804216&partnerID=8YFLogxK
U2 - 10.1090/memo/1220
DO - 10.1090/memo/1220
M3 - Review article
AN - SCOPUS:85048804216
VL - 255
SP - 1
EP - 148
JO - Memoirs of the American Mathematical Society
JF - Memoirs of the American Mathematical Society
SN - 0065-9266
IS - 1220
ER -
ID: 35957453