Analytic capacity, rectifiability, Menger curvature, and the Cauchy integral
Based on a graduate course given by the author at Yale University this book deals with complex analysis (analytic capacity), geometric measure theory (rectifiable and uniformly rectifiable sets) and harmonic analysis (boundedness of singular integral operators on Ahlfors-regular sets). In particular...
Uloženo v:
| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Edice: | Lecture notes in mathematics
1799 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Analytic capacity, rectifiability, Menger curvature, and the Cauchy integral, Hervé Pajot, 2002, Berlin, Springer, 1 vol. (XII-118 p.), Lecture notes in mathematics, 3-540-00001-1 |
Obsah:
- Preface
- Notations and conventions
- Some geometric measures theory
- Jones' traveling salesman theorem
- Menger curvature
- The Cauchy singular integral operator on Ahlfors-regular sets
- Analytic capacity and the Painlevé Problem
- The Denjoy and Vitushkin conjectures
- The capacity