登入選單

返回Google圖書搜尋

Analytic Capacity, Rectifiability, Menger Curvature and Cauchy Integral

Hervé M. Pajot

出版	Springer Berlin Heidelberg, 2002-11-26
主題	Mathematics / Mathematical AnalysisMathematics / Geometry / GeneralMathematics / CalculusMathematics / Complex AnalysisMathematics / Functional Analysis
ISBN	35400000119783540000013
URL	http://books.google.com.hk/books?id=09z5wAEACAAJ&hl=&source=gbs_api

註釋

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.