[PDF.10xk] Analytic Capacity, Rectifiability, Menger Curvature and Cauchy Integral (Lecture Notes in Mathematics)

Analytic Capacity, Rectifiability, Menger Curvature and Cauchy Integral (Lecture Notes in Mathematics)

[PDF.fe62] Analytic Capacity, Rectifiability, Menger Curvature and Cauchy Integral (Lecture Notes in Mathematics)

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 | #5814023 in Books |  Springer |  2008-06-13 | Original language:English | PDF # 1 |  9.25 x.32 x6.10l,.45 | File type: PDF | 119 pages

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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 Ca...

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