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The Bellman Function Technique in Harmonic Analysis.
・ISBN 978-1-108-48689-7 hard GB£ 76.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-108-76446-9
| 著者・編者 | Vasyunin, Vasily / Volberg, Alexander, |
|---|---|
| シリーズ | Cambridge Studies in Advanced Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2020 |
| ページ数 | 460 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-3905＞ |
解説
The Bellman function, a powerful tool originating in control theory, can be used successfully in a large class of difficult harmonic analysis problems and has produced some notable results over the last thirty years. This book by two leading experts is the first devoted to the Bellman function method and its applications to various topics in probability and harmonic analysis. Beginning with basic concepts, the theory is introduced step-by-step starting with many examples of gradually increasing sophistication, culminating with Calderon-Zygmund operators and end-point estimates. All necessary techniques are explained in generality, making this book accessible to readers without specialized training in non-linear PDEs or stochastic optimal control. Graduate students and researchers in harmonic analysis, PDEs, functional analysis, and probability will find this to be an incisive reference, and can use it as the basis of a graduate course.