The Riesz transform, rectifiability, and removability for Lipschitz harmonic functions

Fëdor Nazarov, Xavier Tolsa, Alexander Volberg

Type: Article

Publication Date: 2014-07-01

Citations: 32

DOI: https://doi.org/10.5565/10.5565-publmat_58214_26

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Works Cited by This (15)

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+ PDF Chat	On geometric properties of harmonic Lip<sub>1</sub>-capacity	1995	Pertti Mattila Петр Владимирович Парамонов
+	Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability	1995	Pertti Mattila
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+	Analytic capacity: discrete approach and curvature of measure	1995	Mark Melnikov
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+ PDF Chat	Removable sets for Lipschitz harmonic functions in the plane	2000	Guy C. David Pertti Mattila
+	The s-Riesz transform of an s-dimensional measure in ℝ2 is unbounded for 1 < s < 2	2014	Vladimir Eiderman Fëdor Nazarov Alexander Volberg
+ PDF Chat	On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1	2014	Fëdor Nazarov Alexander Volberg Xavier Tolsa
+ PDF Chat	Menger Curvature and Rectifiability	1999	Jean-Christophe Léger
+	The $Tb$-theorem on non-homogeneous spaces that proves a conjecture of Vitushkin	2014	Fëdor Nazarov Sergei Treil Alexander Volberg