1.

Record Nr.

UNINA9910478903103321

Autore

Ivanisvili Paata <1988->

Titolo

Bellman function for extremal problems in BMO II : evolution / / Paata Ivanisvili [and three others]

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2018]

©2018

ISBN

1-4704-4817-3

Descrizione fisica

1 online resource (148 pages)

Collana

Memoirs of the American Mathematical Society ; ; Number 1220

Disciplina

515/.2433

Soggetti

Harmonic analysis

Extremal problems (Mathematics)

Bounded mean oscillation

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Setting and sketch of proof -- Patterns for Bellman candidates -- Evolution of Bellman candidates -- Optimizers -- Related questions and further development.

Sommario/riassunto

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.