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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. Chapter...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Dudziak, James (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer New York : Imprint: Springer, 2010.
Edition:1st ed. 2010.
Series:Universitext,
Subjects:
Online Access:Texto Completo
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.