Bellman Function for Extremal Problems in BMO II: Evolution

Paata Ivanisvili, Dmitriy M. Stolyarov, Vasily I. Vasyunin, Pavel B. Zatitskiy (Autoren)

Buch | Softcover

136 Seiten

2018
American Mathematical Society (Verlag)
978-1-4704-2954-6 (ISBN)

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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.

Paata Ivanisvili, Kent State University, OH. Dmitriy M. Stolyarov, St. Petersburg State University, Russia. Vasily I. Vasyunin, Steklov Mathematical Institute, Russian Academy of Sciences, St. Petersburg, Russia. Pavel B. Zatitskiy, St. Petersburg State University, Russia.

Introduction
Setting and sketch of proof
Patterns for Bellman candidates
Evolution of Bellman candidates
Optimizers
Related questions and further development
Bibliography
Index

Erscheinungsdatum	26.10.2018
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Gewicht	230 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	1-4704-2954-3 / 1470429543
ISBN-13	978-1-4704-2954-6 / 9781470429546
Zustand	Neuware