Vitushkin’s Conjecture for Removable Sets by James J. Dudziak
English | PDF,EPUB | 2010 | 338 Pages | ISBN : 1441967087 | 10.6 MB
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 6-8 of this carefully written text present a major recent accomplishment of modern complex analysis, the affirmative resolution of this conjecture.