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
10 - Singular Integrals
Published online by Cambridge University Press: 19 December 2022
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
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Summary
Characterizations of rectifiability in terms of boundedness and principal values of the Riesz transfrom and of removable singularities of Lipschitz harmonic functions
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- RectifiabilityA Survey, pp. 89 - 98Publisher: Cambridge University PressPrint publication year: 2023
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This content is Open Access and distributed under the terms of the Creative Commons Attribution licence CC-BY-NC 4.0 https://creativecommons.org/cclicenses/
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