本书介绍的内容属于几何分析领域，可以将其视为调和分析和几何测度论之间的交界，这些内容大多数与有趣的开放性问题有关。黎兹变换是本书涉及所有问题的基础，本书还提供了所得结果的简要说明。本书的各章节以各个问题的背景展开讨论，逻辑清晰。全书共五章，分别为某些康托尔型集合上的有理逼近的失效、C＾1调和容量的对偶表征、李普希兹图上奇异积分的变分：光滑截断、李普希兹图上奇异积分的变分：粗截断，以及黎兹变换的变分与一致可求长性。

Introduction
Topics covered in this book: Statement and main results
Other comments
1 Failure of rational approximation on some Cantor type sets
1.1 Proof of the main result
1.2 A(K) = R(K) when K1 has no interior
2 A dual characterization of the C1harmonic capacity
2.1 Preliminaries
2.2 The heart of the matter
2.3 An open question: Some consequences for an affirmative answer
3 Variation and oscillation for singular integrals with odd kernel on Lipschitz
graphs: Smooth truncation
3.1 Preliminaries
3.2 Sketch of the proof of Main Theorem 3.0.1
3.3 Proof of Theorem 3.2.1
3.4 Proof of Theorem 3.2.2
3.5 L2 localization of Vp o 口（特殊符号） and O o 口（特殊符号）
3.6 LP and endpoint estimates for 口（特殊符号） and 口（特殊符号）
4 Variation and oscillation for singular integrals with odd kernel on Lipschitz
graphs: Rough truncation
4.1 L2 estimates for 口（特殊符号） and 口（特殊符号）
4.2 LP and endpoint estimates for口（特殊符号） and口（特殊符号）
5 Variation and oscillation for Riesz transforms and uniform rectifiability
5.1 Boundedness of V o Tg from口（特殊符号） to 口（特殊符号）
5.2 LP boundedness of V, o Tu for uniformly rectifiable measures
5.3 L2 boundedness of V, o Tu for uniformly rectifiable measures μ
5.4 L2 boundedness of Vp o Ru implies that u is a uniformly rectifiable measure
5.5 Boundedness of Vp o T from M(Rd) to L1,∞(口（特殊公式）)
Bibliography
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