Book contents
- Frontmatter
- Contents
- Introduction
- 1 Preliminaries
- 2 Rectifiable Curves
- 3 One-Dimensional Rectifiable Sets
- 4 Higher-Dimensional Rectifiable Sets
- 5 Uniform Rectifiability
- 6 Rectifiability of Measures
- 7 Rectifiable Sets in Metric Spaces
- 8 Heisenberg and Carnot Groups
- 9 Bounded Analytic Functions and the Cauchy Transform
- 10 Singular Integrals
- 11 Harmonic Measure and Elliptic Measures
- 12 Sets of Finite Perimeter and Functions of Bounded Variation
- 13 Currents and Varifolds
- 14 Minimizers and Quasiminimizers
- 15 Rectifiability of Singularities
- 16 Miscellaneous Topics Related to Rectifiability
- References
- Index
9 - Bounded Analytic Functions and the Cauchy Transform
Published online by Cambridge University Press: 19 December 2022
- Frontmatter
- Contents
- Introduction
- 1 Preliminaries
- 2 Rectifiable Curves
- 3 One-Dimensional Rectifiable Sets
- 4 Higher-Dimensional Rectifiable Sets
- 5 Uniform Rectifiability
- 6 Rectifiability of Measures
- 7 Rectifiable Sets in Metric Spaces
- 8 Heisenberg and Carnot Groups
- 9 Bounded Analytic Functions and the Cauchy Transform
- 10 Singular Integrals
- 11 Harmonic Measure and Elliptic Measures
- 12 Sets of Finite Perimeter and Functions of Bounded Variation
- 13 Currents and Varifolds
- 14 Minimizers and Quasiminimizers
- 15 Rectifiability of Singularities
- 16 Miscellaneous Topics Related to Rectifiability
- References
- Index
Summary
Charcaterizations of rectifiability in terms of removable singularities of bounded analytic functions and of boundedness and principal values of the Cauchy transform
- Type
- Chapter
- Information
- RectifiabilityA Survey, pp. 78 - 88Publisher: Cambridge University PressPrint publication year: 2023