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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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
New York, NY :
Springer New York : Imprint: Springer,
2010.
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Σειρά: | Universitext,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.