Analytic capacity, rectifiability, Menger curvature and the Cauchy integral

＜図書＞
Analytic capacity, rectifiability, Menger curvature and the Cauchy integral

責任表示	Hervé Pajot
シリーズ	Lecture notes in mathematics ; 1799
データ種別	図書
出版情報	Berlin ; Tokyo : Springer , c2002
本文言語	英語
大きさ	xii, 118 p. : ill. ; 24 cm
概要	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 ...armonic 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. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7006659

一般注記	Bibliography: p. [115]-118 Includes index
著者標目	*Pajot, Hervé, 1967-
件　名	LCSH:Geometric measure theory LCSH:Capacity theory (Mathematics) LCSH:Harmonic analysis
分　類	DC21:514.42
書誌ID	1001239196
ISBN	3540000011
NCID	BA60135839
巻冊次	ISBN:3540000011
登録日	2009.09.18
更新日	2017.02.18