Marstrand's density theorem in the Heisenberg group

Vasilis Chousionis, Jeremy T. Tyson

Type: Article

Publication Date: 2015-09-18

Citations: 17

DOI: https://doi.org/10.1112/blms/bdv056

View Publication

Download PDF

Locations

Bulletin of the London Mathematical Society - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Marstrand's density theorem in the Heisenberg group	2014	Vasilis Chousionis Jeremy T. Tyson
+	Marstrand's density theorem in the Heisenberg group	2014	Vasilis Chousionis Jeremy T. Tyson
+	Restriction theorems for the Heisenberg group.	1991	S. Thangavelu
+	Revisiting Hardy's theorem for the Heisenberg group	2002	Sundaram Thangavelu
+	The Hahn-Hellinger Theorem	1998	M. G. Nadkarni
+	Hardy’s Inequalities for the Heisenberg Group	2018	Jinsen Xiao Jianxun He Xingya Fan
+	The Heisenberg Group and Its Relatives in the Work of Elias M. Stein	2019	Gerald B. Folland
+	A restriction theorem for the product Heisenberg group	1995	Zhenqiu Zhang
+	A restriction theorem for the product Heisenberg group	1995	张震球
+	Poincaré's lemma on the Heisenberg group	2014	Ovidiu Calin Der‐Chen Chang Jishan Hu
+ PDF Chat	Heisenberg's commutation relation and the Plancherel theorem	1961	Masahiro Nakamura Hisaharu Umegaki
+ PDF Chat	A Plancherel measure for the discrete Heisenberg group	1979	Tadeusz Pytlik
+	Shannon type sampling theorems on the Heisenberg group	2007	R Radha S. Sivananthan
+	Necessary condition for the $L^2$ boundedness of the Riesz transform on Heisenberg groups	2020	Damian Dąbrowski Michele Villa
+	Cardiff Branch of the Mathematical Association	1960	W. H. Williams
+	HARDY AND MIYACHI THEOREMS FOR HEISENBERG MOTION GROUPS	2016	Ali Baklouti Sundaram Thangavelu
+	A Note on Hankel's Theorem	1930	Charles Fox
+	Analysis on the Heisenberg Group	2009	Steven G. Krantz
+	A Theorem Like Kirchberger's	1970	B. C. Rennie
+ PDF Chat	The converse of the Hartman-Wintner theorem	1972	William Steiger S. K. Zaremba

Works That Cite This (17)

Action	Title	Year	Authors
+ PDF Chat	On sets with unit Hausdorff density in homogeneous groups	2023	Antoine Julia Andrea Merlo
+ PDF Chat	Parabolic rectifiability, tangent planes and tangent measures	2022	Pertti Mattila
+ PDF Chat	Geometry of 1-codimensional measures in Heisenberg groups	2021	Andrea Merlo
+ PDF Chat	On rectifiable measures in Carnot groups: Marstrand–Mattila rectifiability criterion	2022	Gioacchino Antonelli Andrea Merlo
+ PDF Chat	On uniform measures in the Heisenberg group	2020	Vasilis Chousionis Valentino Magnani Jeremy T. Tyson
+	Multiscale Analysis of 1-rectifiable Measures II: Characterizations	2017	Matthew Badger Raanan Schul
+	On rectifiable measures in Carnot groups: structure theory	2020	Gioacchino Antonelli Andrea Merlo
+ PDF Chat	Equilateral dimension of the Heisenberg group	2023	J. Kim Ioannis D. Platis
+	Rectifiability; a survey	2021	Pertti Mattila
+ PDF Chat	Harmonic functions on metric measure spaces	2018	Tomasz Adamowicz Michał Gaczkowski Przemysław Górka

Works Cited by This (29)

Action	Title	Year	Authors
+ PDF Chat	Characterizations of intrinsic rectifiability in Heisenberg groups	2010	Pertti Mattila Raul Serapioni Francesco Serra Cassano
+ PDF Chat	Measures with unique tangent measures in metric groups	2005	Pertti Mattila
+ PDF Chat	Carnot-Carathéodory spaces seen from within	1996	Mikhael Gromov
+ PDF Chat	Square functions and uniform rectifiability	2015	Vasileios Chousionis John B. Garnett Triet Le Xavier Tolsa
+ PDF Chat	Uniformly Distributed Measures in Euclidean Spaces	2002	Bernd Kirchheim David Preiss
+	Lectures on Analysis on Metric Spaces	2001	Juha Heinonen
+ PDF Chat	A Primer of Real Analytic Functions	2002	Steven G. Krantz Harold R. Parks
+ PDF Chat	Introduction to the Theory of Analytic Spaces	1966	Raghavan Narasimhan
+	Rectifiable Sets, Densities and Tangent Measures	2008	Camillo De Lellis
+	Measure of curves in graded groups	2012	Riikka Korte Valentino Magnani