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Bellman function for extremal problems in BMO II : evolution

Author: Paata Ivanisvili; Dmitriy M Stolyarov; Vasily I Vasyunin; Pavel B Zatitskiy
Publisher: Providence, RI : AMS, American Mathematical Society, 2018. ©2018
Series: Memoirs of the American Mathematical Society, no. 1220.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"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  Read more...
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Document Type: Book
All Authors / Contributors: Paata Ivanisvili; Dmitriy M Stolyarov; Vasily I Vasyunin; Pavel B Zatitskiy
ISBN: 9781470429546 1470429543
OCLC Number: 1056202478
Notes: "September 2018. Volume 255. Number 1222 (third of 7 numbers)."
Description: v, 136 pages : illustrations ; 26 cm.
Contents: Chapter 1. Introduction --
Chapter 2. Setting and sketch of proof --
Chapter 3. Patterns for Bellman candidates --
Chapter 4. Evolution of Bellman candidates --
Chapter 5. Optimizers --
Chapter 6. Related questions and further development.
Series Title: Memoirs of the American Mathematical Society, no. 1220.
Responsibility: Paata Ivanisvili, Dmitriy M. Stolyarov, Vasily I. Vasyunin, Pavel B. Zatitskiy.

Abstract:

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  Read more...

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