| Analytic Capacity, Rectifiability, Menger Curvature and Cauchy Integral 2002 Edition Contributor(s): Pajot, Hervé M. (Author) |
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ISBN: 3540000011 ISBN-13: 9783540000013 Publisher: Springer OUR PRICE: $47.45 Product Type: Paperback Published: November 2002 Annotation: Based on a graduate course given by the author at Yale University this book deals with complex analysis (analytic capacity), geometric measure theory (rectifiable and uniformly rectifiable sets) and harmonic analysis (boundedness of singular integral operators on Ahlfors-regular sets). In particular, these notes contain a description of Peter Jones' geometric traveling salesman theorem, the proof of the equivalence between uniform rectifiability and boundedness of the Cauchy operator on Ahlfors-regular sets, the complete proofs of the Denjoy conjecture and the Vitushkin conjecture (for the latter, only the Ahlfors-regular case) and a discussion of X. Tolsa's solution of the Painlev?? problem. |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Mathematics | Mathematical Analysis - Medical |
| Dewey: 515.42 |
| LCCN: 2002036595 |
| Series: Lecture Notes |
| Physical Information: 0.3" H x 6.14" W x 9.21" (0.45 lbs) 119 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Based on a graduate course given by the author at Yale University this book deals with complex analysis (analytic capacity), geometric measure theory (rectifiable and uniformly rectifiable sets) and harmonic analysis (boundedness of singular integral operators on Ahlfors-regular sets). In particular, these notes contain a description of Peter Jones' geometric traveling salesman theorem, the proof of the equivalence between uniform rectifiability and boundedness of the Cauchy operator on Ahlfors-regular sets, the complete proofs of the Denjoy conjecture and the Vitushkin conjecture (for the latter, only the Ahlfors-regular case) and a discussion of X. Tolsa's solution of the Painlev problem. |