Analysis of and on uniformly rectifiable sets /
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| Author / Creator: | David, Guy, 1957- |
|---|---|
| Imprint: | Providence, R.I. : American Mathematical Society, c1993. |
| Description: | xii, 356 p. : ill. ; 26 cm. |
| Language: | English |
| Series: | Mathematical surveys and monographs, 0076-5376 ; v. 38 Mathematical surveys and monographs no. 38. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/1576949 |
Table of Contents:
- Part I. Background information and the statements of the main results
- Reviews of various topics
- A summary of the main results
- Dyadic cubes and corona decompositions
- Part II. New geometrical conditions related to uniform rectifiability
- One-dimensional sets
- The bilateral weak geometric lemma and its variants
- The WHIP and related conditions
- Other conditions in the codimension 1 case
- Part III. Applications: Uniform rectifiability and singular integral operators
- Uniform rectifiability and square function estimates for the Cauchy kernel
- Square function estimates and uniform rectifiability in higher dimensions
- Approximating Lipschitz functions by affine functions
- The weak constant density condition
- Part IV. Direct arguments for some stability results
- Stability of various versions of the geometric lemma
- Stability properties of the corona decomposition
- References
- Table of selected notation
- Table of acronyms
- Table of theorems
- Index