2016; 130 pp; Softcover
MSC: Primary 28; 42;
Print ISBN: 978-1-4704-2252-3
Product Code: MEMO/245/1158
List Price: $75.00
AMS Member Price: $45.00
MAA Member Price: $67.50
Electronic ISBN: 978-1-4704-3605-6
Product Code: MEMO/245/1158.E
List Price: $75.00
AMS Member Price: $45.00
MAA Member Price: $67.50
Rectifiable Measures, Square Functions Involving Densities, and the Cauchy Transform
Share this pageXavier Tolsa
Table of Contents
Table of Contents
Rectifiable Measures, Square Functions Involving Densities, and the Cauchy Transform
- Cover Cover11
- Title page i2
- Chapter 1. Introduction 18
- Chapter 2. Preliminaries 512
- Chapter 3. A compactness argument 916
- Chapter 4. The dyadic lattice of cells with small boundaries 1724
- Chapter 5. The Main Lemma 2128
- Chapter 6. The stopping cells for the proof of Main Lemma 5.1 2734
- Chapter 7. The measure π and some estimates about its flatness 3542
- Chapter 8. The measure of the cells from \BCF, \LD, \BSD and \BCG 4350
- Chapter 9. The new families of cells \bsb, \nterm, \ngood, \nqgood and \nreg 4956
- Chapter 10. The approximating curves Ξ^{π} 5158
- Chapter 11. The small measure π of the cells from \bsb 6168
- Chapter 12. The approximating measure π^{π} on Ξ^{π}ββ 6370
- Chapter 13. Square function estimates for π^{π} 6572
- Chapter 14. The good measure π^{π} on Ξ^{π} 7582
- Chapter 15. The πΏΒ²(π^{π}) norm of the density of π^{π} with respect to π^{π} 97104
- Chapter 16. The end of the proof of the Main Lemma 5.1 103110
- Chapter 17. Proof of Theorem 1.3: Boundedness of π_{π} implies boundedness of the Cauchy transform 109116
- Chapter 18. Some CalderΓ³n-Zygmund theory for π_{π} 113120
- Chapter 19. Proof of Theorem 1.3: Boundedness of the Cauchy transform implies boundedness of π_{π} 119126
- Bibliography 129136
- Back Cover Back Cover1142