James Dudziak

Vitushkin’s Conjecture for Removable Sets (eBook, PDF)

• Format: PDF

Produktbeschreibung

Produktdetails

• Verlag: Springer New York
• Erscheinungstermin: 3. Februar 2011
• Englisch
• ISBN-13: 9781441967091
• Artikelnr.: 37352490

Autorenporträt

Inhaltsangabe

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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.

Rezensionen

From the reviews:

"This is a very nice and well-written book that presents a complete proof of the so-called Vitushkin conjecture on removable sets for bounded analytic functions ... . it is accessible to both graduate and undergraduate students." (Xavier Tolsa, Mathematical Reviews, Issue 2011 i)

"The aim of the book is to present a complete proof of the recent affirmative solution to the Vitushkin conjecture, which was preceded by a proof of the Denjoy conjecture. ... The book is a guide for graduate students and a helpful survey for experts." (Dmitri V. Prokhorov, Zentralblatt MATH, Vol. 1205, 2011)