Vitushkin s Conjecture for Removable Sets
Vitushkin's conjecture, a special case of Painlevé's problem, states that a compact subset of the complex plane with finite linear Hausdorff measure is removable for bounded analytic functions if and only if it intersects every rectifiable curve in a set of zero arclength measure. Chapters...
שמור ב:
| מחבר ראשי: | |
|---|---|
| פורמט: | Livre numérique |
| שפה: | Anglais |
| יצא לאור: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| מהדורה: | 1. |
| סדרה: | Universitext
|
| גישה מקוונת: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| הערה: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Vitushkin's conjecture for removable sets, James J. Dudziak, New York, Springer, 2010, 1 vol. (XII-331 p.), Universitext, 978-1-441-96708-4 • Vitushkin's conjecture for removable sets, James J. Dudziak, New York, Springer, 2010, 1 vol. (XII-331 p.), Universitext, 978-1-441-96708-4 • Vitushkin's Conjecture for Removable Sets, Texte imprimé, 9781441967107 |
תוכן הענינים:
- Removable Sets and Analytic Capacity Removable Sets and Hausdorff Measure Garabedian Duality for Hole-Punch Domains Melnikov and Verdera s Solution to the Denjoy Conjecture Some Measure Theory A Solution to Vitushkin s Conjecture Modulo Two Difficult Results The T(b) Theorem of Nazarov, Treil, and Volberg The Curvature Theorem of David and Léger