Katrin Fässler

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All published works

Action	Title	Year	Authors
+ PDF Chat	Kakeya maximal inequality in the Heisenberg group	2023	Katrin Fässler Andrea Pinamonti Pietro Wald
+	Vertical projections in the Heisenberg group via cinematic functions and point-plate incidences	2023	Katrin Fässler Tuomas Orponen
+ PDF Chat	A note on Kakeya sets of horizontal and SL(2)$SL(2)$ lines	2023	Katrin Fässler Tuomas Orponen
+ PDF Chat	Riesz transform and vertical oscillation in the Heisenberg group	2023	Katrin Fässler Tuomas Orponen
+	On the Hausdorff dimension of circular Furstenberg sets	2023	Katrin Fässler Jiayin Liu Tuomas Orponen
+	On various Carleson-type geometric lemmas and uniform rectifiability in metric spaces	2023	Katrin Fässler Ivan Yuri Violo
+	Hardy spaces and quasiconformal maps in the Heisenberg group	2022	Tomasz Adamowicz Katrin Fässler
+ PDF Chat	Loomis–Whitney inequalities in Heisenberg groups	2022	Katrin Fässler Andrea Pinamonti
+	Hardy spaces and quasiconformal maps in the Heisenberg group	2022	Tomasz Adamowicz Katrin Fässler
+	Vertical projections in the Heisenberg group via cinematic functions and point-plate incidences	2022	Katrin Fässler Tuomas Orponen
+	A note on Kakeya sets of horizontal and $SL(2)$ lines	2022	Katrin Fässler Tuomas Orponen
+	Kakeya maximal inequality in the Heisenberg group	2022	Katrin Fässler Andrea Pinamonti Pietro Wald
+ PDF Chat	Metric Rectifiability of ℍ-regular Surfaces with Hölder Continuous Horizontal Normal	2021	Daniela Di Donato Katrin Fässler Tuomas Orponen
+	Singular integrals on regular curves in the Heisenberg group	2021	Katrin Fässler Tuomas Orponen
+ PDF Chat	Extensions and corona decompositions of low-dimensional intrinsic Lipschitz graphs in Heisenberg groups	2021	Daniela Di Donato Katrin Fässler
+	Loomis-Whitney inequalities in Heisenberg groups	2021	Katrin Fässler Andrea Pinamonti
+	Loomis-Whitney inequalities in Heisenberg groups	2021	Katrin Fässler Andrea Pinamonti
+ PDF Chat	Dorronsoro's theorem in Heisenberg groups	2020	Katrin Fässler Tuomas Orponen
+ PDF Chat	On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups	2020	Katrin Fässler Enrico Le Donne
+	Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group	2020	Katrin Fässler Tuomas Orponen Séverine Rigot
+	Planar incidences and geometric inequalities in the Heisenberg group	2020	Katrin Fässler Tuomas Orponen Andrea Pinamonti
+	Vertical versus horizontal Sobolev spaces	2020	Katrin Fässler Tuomas Orponen
+	Planar incidences and geometric inequalities in the Heisenberg group	2020	Katrin Fässler Tuomas Orponen Andrea Pinamonti
+	Singular integrals on regular curves in the Heisenberg group	2019	Katrin Fässler Tuomas Orponen
+	Boundedness of singular integrals on C1, intrinsic graphs in the Heisenberg group	2019	Vasileios Chousionis Katrin Fässler Tuomas Orponen
+	Vertical versus horizontal Sobolev spaces	2019	Katrin Fässler Tuomas Orponen
+ PDF Chat	A Koebe distortion theorem for quasiconformal mappings in the Heisenberg group	2019	Tomasz Adamowicz Katrin Fässler Ben Warhurst
+ PDF Chat	Metric currents and the Poincaré inequality	2019	Katrin Fässler Tuomas Orponen
+ PDF Chat	Heisenberg quasiregular ellipticity	2019	Katrin Fässler Anton Lukyanenko Jeremy T. Tyson
+	Dorronsoro's theorem in Heisenberg groups	2019	Katrin Fässler Tuomas Orponen
+ PDF Chat	Intrinsic Lipschitz Graphs and Vertical β-Numbers in the Heisenberg Group	2019	Vasileios Chousionis Katrin Fässler Tuomas Orponen
+	Metric rectifiability of $\mathbb{H}$-regular surfaces with Hölder continuous horizontal normal	2019	Daniela Di Donato Katrin Fässler Tuomas Orponen
+	Singular integrals on regular curves in the Heisenberg group	2019	Katrin Fässler Tuomas Orponen
+	Vertical versus horizontal Sobolev spaces	2019	Katrin Fässler Tuomas Orponen
+	Dorronsoro's theorem in Heisenberg groups	2019	Katrin Fässler Tuomas Orponen
+	On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups	2018	Katrin Fässler Enrico Le Donne
+	Riesz transform and vertical oscillation in the Heisenberg group	2018	Katrin Fässler Tuomas Orponen
+	Metric currents and the Poincar\'e inequality	2018	Katrin Fässler Tuomas Orponen
+	Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group	2018	Katrin Fässler Tuomas Orponen Séverine Rigot
+	On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups	2018	Katrin Fässler Enrico Le Donne
+	Riesz transform and vertical oscillation in the Heisenberg group	2018	Katrin Fässler Tuomas Orponen
+	Metric currents and the Poincaré inequality	2018	Katrin Fässler Tuomas Orponen
+	Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group	2018	Katrin Fässler Tuomas Orponen Séverine Rigot
+ PDF Chat	Isometric embeddings into Heisenberg groups	2017	Zoltán M. Balogh Katrin Fässler Hernando Sobrino
+ PDF Chat	Curve packing and modulus estimates	2017	Katrin Fässler Tuomas Orponen
+	A Koebe distortion theorem for quasiconformal mappings in the Heisenberg group	2017	Tomasz Adamowicz Katrin Fässler Ben Warhurst
+	Boundedness of singular integrals on $C^{1,α}$ intrinsic graphs in the Heisenberg group	2017	Vasileios Chousionis Katrin Fässler Tuomas Orponen
+	Heisenberg quasiregular ellipticity	2016	Katrin Fässler Anton Lukyanenko Jeremy T. Tyson
+	Intrinsic Lipschitz graphs and vertical $\beta$-numbers in the Heisenberg group	2016	Vasileios Chousionis Katrin Fässler Tuomas Orponen
+	Curve packing and modulus estimates	2016	Katrin Fässler Tuomas Orponen
+	Intrinsic Lipschitz graphs and vertical $β$-numbers in the Heisenberg group	2016	Vasileios Chousionis Katrin Fässler Tuomas Orponen
+	Curve packing and modulus estimates	2016	Katrin Fässler Tuomas Orponen
+	Heisenberg quasiregular ellipticity	2016	Katrin Fässler Anton Lukyanenko Jeremy T. Tyson
+ PDF Chat	Quasiregular Mappings on Sub-Riemannian Manifolds	2015	Katrin Fässler Anton Lukyanenko Kirsi Peltonen
+	Uniqueness of minimisers for a Grötzsch-Belinskiĭ type inequality in the Heisenberg group	2015	Zoltán M. Balogh Katrin Fässler Ioannis D. Platis
+ PDF Chat	Nonexistence of Quasiconformal Maps Between Certain Metric Measure Spaces	2014	Katrin Fässler Pekka Koskela Enrico Le Donne
+ PDF Chat	On restricted families of projections in ℝ<sup>3</sup>	2014	Katrin Fässler Tuomas Orponen
+	Nonexistence of quasiconformal maps between certain metric measure spaces	2013	Katrin Fässler Pekka Koskela Enrico Le Donne
+	Quasiregular mappings on sub-Riemannian manifolds	2013	Katrin Fässler Anton Lukyanenko Kirsi Peltonen
+ PDF Chat	The effect of projections on dimension in the Heisenberg group	2013	Zoltán M. Balogh Estíbalitz Durand-Cartagena Katrin Fässler Pertti Mattila Jeremy T. Tyson
+ PDF Chat	Constancy results for special families of projections	2013	Katrin Fässler Tuomas Orponen
+	Modulus method and radial stretch map in the Heisenberg group	2013	Zoltán M. Balogh Katrin Fässler Ioannis D. Platis
+	Quasiregular mappings on sub-Riemannian manifolds	2013	Katrin Fässler Anton Lukyanenko Kirsi Peltonen
+	Nonexistence of quasiconformal maps between certain metric measure spaces	2013	Katrin Fässler Pekka Koskela Enrico Le Donne
+	Projection and slicing theorems in Heisenberg groups	2012	Zoltán M. Balogh Katrin Fässler Pertti Mattila Jeremy T. Tyson
+ PDF Chat	Modulus of curve families and extremality of spiral-stretch maps	2011	Zoltán M. Balogh Katrin Fässler Ioannis D. Platis
+ PDF Chat	Uniformly Quasiregular Maps on the Compactified Heisenberg Group	2010	Zoltán M. Balogh Katrin Fässler Kirsi Peltonen
+ PDF Chat	Rectifiability and Lipschitz extensions into the Heisenberg group	2008	Zoltán M. Balogh Katrin Fässler

Common Coauthors

Coauthor	Papers Together
Tuomas Orponen	37
Zoltán M. Balogh	8
Andrea Pinamonti	7
Enrico Le Donne	6
Anton Lukyanenko	6
Vasileios Chousionis	5
Jeremy T. Tyson	5
Tomasz Adamowicz	4
Kirsi Peltonen	4
Ioannis D. Platis	3
Pekka Koskela	3
Séverine Rigot	3
Daniela Di Donato	3
Pertti Mattila	2
Ben Warhurst	2
Pietro Wald	2
Ivan Yuri Violo	1
Hernando Sobrino	1
Estíbalitz Durand-Cartagena	1
Jiayin Liu	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Rectifiability and perimeter in the Heisenberg group	2001	Raul Serapioni Bruno Franchi Francesco Serra Cassano	16
+	An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem	2007	Luca Capogna Scott D. Pauls Donatella Danielli Jeremy T. Tyson	15
+	Lectures on Analysis on Metric Spaces	2001	Juha Heinonen	13
+	Differentiability of Intrinsic Lipschitz Functions within Heisenberg Groups	2010	Bruno Franchi Raul Serapioni Francesco Serra Cassano	13
+ PDF Chat	Vertical perimeter versus horizontal perimeter	2018	Assaf Naor Robert M. Young	11
+	Metriques de Carnot-Caratheodory et Quasiisometries des Espaces Symetriques de rang un	1989	Pierre Pansu	11
+ PDF Chat	The effect of projections on dimension in the Heisenberg group	2013	Zoltán M. Balogh Estíbalitz Durand-Cartagena Katrin Fässler Pertti Mattila Jeremy T. Tyson	9
+	Geometry of Sets and Measures in Euclidean Spaces	1995	Pertti Mattila	9
+	Boundedness of singular integrals on C1, intrinsic graphs in the Heisenberg group	2019	Vasileios Chousionis Katrin Fässler Tuomas Orponen	8
+	Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group	2020	Katrin Fässler Tuomas Orponen Séverine Rigot	8
+	Sobolev classes of Banach space-valued functions and quasiconformal mappings	2001	Uha Heinonen Pekka Koskela Nageswari Shanmugalingam Jeremy T. Tyson	8
+ PDF Chat	Singular integrals on self-similar sets and removability for Lipschitz harmonic functions in Heisenberg groups	2012	Vasilis Chousionis Pertti Mattila	8
+ PDF Chat	Quasiconformal maps in metric spaces with controlled geometry	1998	Juha Heinonen Pekka Koskela	8
+ PDF Chat	A T(b) theorem with remarks on analytic capacity and the Cauchy integral	1990	Michael Christ	8
+ 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	8
+ PDF Chat	Characterizations of intrinsic rectifiability in Heisenberg groups	2010	Pertti Mattila Raul Serapioni Francesco Serra Cassano	8
+	Smooth approximation for intrinsic Lipschitz functions in the Heisenberg group	2013	Giovanna Citti Maria Manfredini Andrea Pinamonti Francesco Serra Cassano	8
+	Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces	1996	Nicola Garofalo Duy-Minh Nhieu	7
+	The tangent space in sub-Riemannian geometry	1996	A. Bellaïche	7
+	Some topics of geometric measure theory in Carnot groups	2016	Francesco Serra Cassano	7
+	Foundations for the Theory of Quasiconformal Mappings on the Heisenberg Group	1995	Adam Korányi Hans Martin Reimann	7
+ PDF Chat	Vertical versus horizontal Poincaré inequalities on the Heisenberg group	2014	Vincent Lafforgue Assaf Naor	6
+	Intrinsic regular hypersurfaces in Heisenberg groups	2006	Luigi Ambrosio Francesco Serra Cassano Davide Vittone	6
+	Rectifiable sets and the Traveling Salesman Problem	1990	Peter W. Jones	6
+	Projection and slicing theorems in Heisenberg groups	2012	Zoltán M. Balogh Katrin Fässler Pertti Mattila Jeremy T. Tyson	6
+ PDF Chat	Quantitative rectifiability and Lipschitz mappings	1993	Guy David Stephen Semmes	6
+	Quasiconformal mappings on the Heisenberg group	1985	A. Korányi Hans Martin Reimann	6
+ PDF Chat	Intrinsic Lipschitz Graphs Within Carnot Groups	2015	Bruno Franchi Raul Serapioni	6
+ PDF Chat	Removable sets for Lipschitz harmonic functions in the plane	2000	Guy C. David Pertti Mattila	6
+ PDF Chat	Subelliptic estimates and function spaces on nilpotent Lie groups	1975	Gerald B. Folland	6
+	L'integrale de Cauchy Definit un Operateur Borne sur L 2 Pour Les Courbes Lipschitziennes	1982	Ronald R. Coifman Alan McIntosh Yves Meyer	6
+ PDF Chat	An upper bound for the length of a traveling salesman path in the Heisenberg group	2016	Sean Li Raanan Schul	6
+	The Riesz transform, rectifiability, and removability for Lipschitz harmonic functions	2014	Fëdor Nazarov Xavier Tolsa Alexander Volberg	6
+	Mappings with bounded distortion on Heisenberg groups	2000	N. S. Dairbekov	6
+	Intrinsic regular submanifolds in Heisenberg groups are differentiable graphs	2009	Gabriella Arena Raul Serapioni	6
+ PDF Chat	Intrinsic Lipschitz Graphs and Vertical β-Numbers in the Heisenberg Group	2019	Vasileios Chousionis Katrin Fässler Tuomas Orponen	6
+ PDF Chat	A counterexample for the geometric traveling salesman problem in the Heisenberg group	2010	Nicolas Juillet	6
+ PDF Chat	On value distributions for quasimeromorphic mappings on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi mathvariant="double-struck">H</mml:mi></mml:math>-type Carnot groups	2005	Irina Markina Sergey Vodopyanov	5
+ PDF Chat	Nonnegative kernels and 1-rectifiability in the Heisenberg group	2017	Vasileios Chousionis Sean Li	5
+ PDF Chat	Carnot-Carathéodory spaces seen from within	1996	Mikhael Gromov	5
+	Moduli in Modern Mapping Theory	2008	Олли Мартио Vladimir Ryazanov Uri Srebro Eduard Yakubov	5
+ PDF Chat	Lectures on n-Dimensional Quasiconformal Mappings	1971	Jussi Väısälä	5
+ PDF Chat	The traveling salesman problem in the Heisenberg group: Upper bounding curvature	2015	Sean Li Raanan Schul	5
+ PDF Chat	Cauchy integrals on Lipschitz curves and related operators	1977	A. P. Calderón	5
+	Uniform domains and quasiconformal mappings on the Heisenberg group	1995	Luca Capogna Puqi Tang	4
+	Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions	1954	J. M. Marstrand	4
+	Regular domains in homogeneous groups	2005	Roberto Monti Daniele Morbidelli	4
+	Boundary behavior of nonnegative solutions of subelliptic equations in NTA domains for carnot-carathéodory metrics	1998	Luca Capogna Nicola Garofalo	4
+ PDF Chat	Definitions of quasiconformality	1995	Juha Heinonen Pekka Koskela	4
+	Rectifiable sets in metric and Banach spaces	2000	Luigi Ambrosio Bernd Kirchheim	4