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...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
2010, 2010
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| Edition: | 1st ed. 2010 |
| Series: | Universitext
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| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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