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Bellman function for extremal problems in BMO II : Evolution. / Ivanisvili, Paata; Stolyarov, Dmitriy M.; Vasyunin, Vasily I.; Zatitskiy, Pavel B.

In: Memoirs of the American Mathematical Society, Vol. 255, No. 1220, 01.09.2018, p. 1-148.

Research output: Contribution to journal › Review article › peer-review

Harvard

Ivanisvili, P, Stolyarov, DM, Vasyunin, VI & Zatitskiy, PB 2018, 'Bellman function for extremal problems in BMO II: Evolution', Memoirs of the American Mathematical Society, vol. 255, no. 1220, pp. 1-148. https://doi.org/10.1090/memo/1220

APA

Ivanisvili, P., Stolyarov, D. M., Vasyunin, V. I., & Zatitskiy, P. B. (2018). Bellman function for extremal problems in BMO II: Evolution. Memoirs of the American Mathematical Society, 255(1220), 1-148. https://doi.org/10.1090/memo/1220

Vancouver

Ivanisvili P, Stolyarov DM, Vasyunin VI, Zatitskiy PB. Bellman function for extremal problems in BMO II: Evolution. Memoirs of the American Mathematical Society. 2018 Sep 1;255(1220):1-148. https://doi.org/10.1090/memo/1220

Author

Ivanisvili, Paata ; Stolyarov, Dmitriy M. ; Vasyunin, Vasily I. ; Zatitskiy, Pavel B. / Bellman function for extremal problems in BMO II : Evolution. In: Memoirs of the American Mathematical Society. 2018 ; Vol. 255, No. 1220. pp. 1-148.

BibTeX

@article{c4daa1c12a8f4c5ca51fec2b8d46ee6a,
title = "Bellman function for extremal problems in BMO II: Evolution",
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.",
keywords = "Bellman function, Bounded mean oscialltion",
author = "Paata Ivanisvili and Stolyarov, {Dmitriy M.} and Vasyunin, {Vasily I.} and Zatitskiy, {Pavel B.}",
year = "2018",
month = sep,
day = "1",
doi = "10.1090/memo/1220",
language = "English",
volume = "255",
pages = "1--148",
journal = "Memoirs of the American Mathematical Society",
issn = "0065-9266",
publisher = "American Mathematical Society",
number = "1220",

}

RIS

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