Analysis of and on Uniformly Rectifiable Sets

Naslovnica
American Mathematical Soc., 1993 - Broj stranica: 356
The notion of uniform rectifiability of sets (in a Euclidean space), which emerged only recently, can be viewed in several different ways. It can be viewed as a quantitative and scale-invariant substitute for the classical notion of rectifiability; as the answer (sometimes only conjecturally) to certain geometric questions in complex and harmonic analysis; as a condition which ensures the parametrizability of a given set, with estimates, but with some holes and self-intersections allowed; and as an achievable baseline for information about the structure of a set. This book is about understanding uniform rectifiability of a given set in terms of the approximate behaviour of the set at most locations and scales. In addition to being a general reference on uniform rectifiability, the book also poses many open problems, some of which are quite basic.
 

Sadržaj

New Geometrical Conditions Related to Uniform Rectifiability
67
Applications
205
Direct Arguments for Some Stability Results
311
References
345
Table of Selected Notation
349
Table of Acronyms
351
Table of Theorems
353
Index
355
Autorska prava

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O autoru (1993)

University of Paris-Sud, Orsay, France

 Rice University, Houston, TX

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