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Notes on analytic capacity, rectifiability, Menger curvature, and Cauchy integral / Herve Pajot
- 作者： Pajot, Herve 1967-
- 其他作者：
- 其他題名：
- Springer eBooks
- 出版： New York : Springer c2002
- 叢書名： Lecture notes in mathematics ,1799
- 主題： Geometric measure theory. , Capacity theory (Mathematics) , Harmonic analysis.
- ISBN： 9783540000013 (paper)
- URL：
電子書
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讀者標籤：
- 系統號： 005168301 | 機讀編目格式
館藏資訊
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 Painlevé problem.
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