Hidden Bibliographic Details
| ISBN: | 9783540360742
3540360743
3540000011
9783540000013
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| Notes: | Includes bibliographical references and index.
Print version record.
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| Summary: | 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.
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| Other form: | Print version: Pajot, Hervé, 1967- Analytic capacity, rectifiability, Menger curvature and the Cauchy integral. Berlin ; New York : Springer, ©2002 3540000011
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