The measures with an associated square function operator bounded in $L^2$

Benjamin Jaye, Fëdor Nazarov, Xavier Tolsa

Type: Preprint

Publication Date: 2016-12-14

Citations: 2

Locations

arXiv (Cornell University) - View

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Works Cited by This (12)

Action	Title	Year	Authors
+	Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability	1995	Pertti Mattila
+	Reflectionless measures for Calder\'{o}n-Zygmund operators II: Wolff potentials and rectifiability	2015	Benjamin Jaye Fëdor Nazarov
+	The capacity associated to signed Riesz kernels, and Wolff potentials	2004	Joan Mateu Laura Prat Joan Verdera
+ 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	The Riesz Transform of Codimension Smaller Than One and the Wolff Energy	2020	Benjamin Jaye Fëdor Nazarov María Carmen Reguera Xavier Tolsa
+ PDF Chat	$L^2$ boundedness of the Cauchy transform implies $L^2$ boundedness of all antisymmetric Calderón-Zygmund operators associated to odd kernels	2004	Xavier Tolsa
+ PDF Chat	Finite square function implies integer dimension	2009	Svitlana Mayboroda Alexander Volberg
+	The $s$-Riesz transform of an $s$-dimensional measure in $\R^2$ is unbounded for $1<s<2$	2011	Vladimir Eiderman Fëdor Nazarov Alexander Volberg
+	On the uniform rectifiability of AD regular measures with bounded Riesz transform operator: the case of codimension 1	2012	Fëdor Nazarov Xavier Tolsa Alexander Volberg
+ PDF Chat	Non existence of principal values of signed Riesz transforms of non integer dimension	2010	Aleix Ruiz de Villa Xavier Tolsa