Name: analytic capacity, rectifiability, menger curvature and cauchy integral
Price: 1460.00 TWD
Availability: InStock
Author: pajot
ISBN: 9783540000013

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portada analytic capacity, rectifiability, menger curvature and cauchy integral

analytic capacity, rectifiability, menger curvature and cauchy integral

Type

Physical Book

Publisher

Springer

Author

pajot

Language

English

Pages

119

ISBN

3540000011

ISBN13

9783540000013

Synopsis "analytic capacity, rectifiability, menger curvature and cauchy integral"

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. tolsas solution of the painlevé problem.