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

Format:

Book

Author/Creator:

Vasyunin, Vasily I., 1948- author.

Volberg, Alexander, 1956- author.

Series:

Cambridge studies in advanced mathematics ; 186.

Cambridge studies in advanced mathematics ; 186

Language:

English

Subjects (All):

Harmonic analysis.

Functional analysis.

Control theory.

Physical Description:

xvii, 445 pages : illustrations ; 24 cm.

Place of Publication:

Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2020.

Summary:

"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 usually some highly non-trivial stopping time argument"-- Provided by publisher.

Contents:

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.

Notes:

Includes bibliographical references and index.

Other Format:

Online version: Vasyunin, Vasily I., 1948- Bellman function technique in harmonic analysis.

ISBN:

9781108486897

1108486894

OCLC:

1139013586