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Analytic Capacity, Rectifiability, Menger Curvature and Cauchy Integral: 1799 (Lecture Notes in Mathematics, 1799) - Softcover
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 Painleve problem.
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- PublisherSpringer
- Publication date2002
- ISBN 10 3540000011
- ISBN 13 9783540000013
- BindingPaperback
- Number of pages127
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Analytic Capacity, Rectifiability, Menger Curvature and Cauchy Integral (Lecture Notes in Mathematics) by Pajot, HervÃÂé M. [Paperback ]
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Analytic Capacity; Rectifiability; Menger Curvature and Cauchy Integral
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Analytic Capacity, Rectifiability, Menger Curvature and Cauchy Integral (Lecture Notes in Mathematics, 1799)
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Book Description Condition: New. Print on Demand pp. 140 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Seller Inventory # 7517580
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Analytic Capacity, Rectifiability, Menger Curvature and Cauchy Integral
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Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 140 pp. Englisch. Seller Inventory # 9783540000013
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Analytic Capacity, Rectifiability, Menger Curvature and Cauchy Integral (Lecture Notes in Mathematics, 1799)
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ISBN 13: 9783540000013
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