Analysis of and on Uniformly Rectifiable SetsAmerican 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 |
345 | |
Table of Selected Notation | 349 |
Table of Acronyms | 351 |
Table of Theorems | 353 |
355 | |
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