Analytic Capacity, Rectifiability, Menger Curvature, and Cauchy Integral
| Author/creator | Pajot, Hervé M., 1967- Author |
| Format | Electronic |
| Publication Info | New York : Springer |
| Description | VIII, 119 p. ill 23.500 x 015.500 cm. |
| Supplemental Content | Full text available from SpringerLINK Lecture Notes in Mathematics Contemporary (1997-present) |
| Supplemental Content | Full text available from Springer Books |
| Subjects |
| Series | Lecture Notes in Mathematics Vol. 1799 |
| Summary | Annotation 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. Tolsa's solution of the Painlevé problem. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2002036595 |
| ISBN | 9783540000013 |
| ISBN | 3540000011 (Trade Paper) Active Record |
| Standard identifier# | 9783540000013 |
| Stock number | 3540000011 00024965 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |