The Bellman function technique in harmonic analysis

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"The subject of this book is the use of Bellman function technique in harmonic analysis. Bellman function, in principle, is the creature of another area of mathematics: the Control Theory. We wish to show that it can be used very successfully in a big class of harmonic analysis problems. In the last 25-30 years some outstanding problems in harmonic analysis were solved by this approach. Later, sometimes in 10-15 years after, another solution has been found by more classical methods involving us…

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Title Statements

Full title :The Bellman function technique in harmonic analysis / Vasily Vasyunin, Alexander Volberg.

Summary

Edition Statements

Publication Date:©2020

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge, United Kingdom
Language:eng
Publication Date:©2020

The Physical Object

Description:xvii, 445 pages : illustrations : 24 cm.

Edition Identifiers

ISBN:9781108486897, 1108486894
oclc:on1249102670
LC Classification:QA403
Dewey Decimal:515/.2433

Examples of exact Bellman functions -- What you always wanted to know about stochastic optimal control, but were afraid to ask -- Conformal martingales models : stochastic and classical Ahlfors-Beurling operators -- Dyadic models : application of Bellman technique to upper estimates of singular integrals -- Application of Bellman technique to the end-point estimates of singular integrals.

Subjects

Analyse harmonique (mathématiques) Commande, Théorie de la Control theory Functional analysis Funktionalanalys Harmonic analysis Harmonisk analys Optimisation mathématique Théorie de la commande