Improved Hausdorff dimension estimate for vertical projections in the Heisenberg group

Risto Hovila , Katrin Faessler
Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze 15 ( 1) 459 -483

11
2016
Rectifiability and Lipschitz extensions into the Heisenberg group

Zoltán M. Balogh , Katrin S. Fässler
Mathematische Zeitschrift 263 ( 3) 673 -683

20
2009
Planar incidences and geometric inequalities in the Heisenberg group

Katrin Fässler , Tuomas Orponen , Andrea Pinamonti
arXiv: Classical Analysis and ODEs

3
2020
Isometric embeddings into Heisenberg groups

Katrin Fässler , Zoltán M. Balogh , Hernando Sobrino , Hernando Sobrino
Geometriae Dedicata 195 ( 1) 163 -192

2
2018
Constancy results for special families of projections

Katrin Fässler , Tuomas Orponen
Mathematical Proceedings of the Cambridge Philosophical Society 154 ( 3) 549 -568

4
2013
Loomis-Whitney inequalities in Heisenberg groups

Katrin Fässler , Andrea Pinamonti
arXiv: Classical Analysis and ODEs

2021
Vertical versus horizontal Sobolev spaces

Katrin Fässler , Tuomas Orponen
Journal of Functional Analysis 279 ( 2) 108517

2020
Nonexistence of quasiconformal maps between certain metric measure spaces

Katrin Fässler , Pekka Koskela , Enrico Le Donne
International Mathematics Research Notices 2015 ( 16) 6968 -6987

7
2015
Modulus method and radial stretch map in the Heisenberg group

Zoltán M. Balogh , Katrin Fässler , Ioannis D. Platis
Annales Academiae Scientiarum Fennicae. Mathematica 38 149 -180

17
2013
Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group

Katrin Fässler , Tuomas Orponen , Séverine Rigot
Transactions of the American Mathematical Society 373 ( 8) 5957 -5996

9
2020
Intrinsic Lipschitz Graphs and Vertical β-Numbers in the Heisenberg Group

Vasileios Chousionis , Katrin Fässler , Tuomas Orponen
American Journal of Mathematics 141 ( 4) 1087 -1147

7
2019
Projection and slicing theorems in Heisenberg groups

Zoltán M. Balogh , Katrin Fässler , Pertti Mattila , Jeremy T. Tyson
Advances in Mathematics 231 ( 2) 569 -604

38
2012
Modulus of curve families and extremality of spiral-stretch maps

Zoltán M. Balogh , Katrin Fässler , Ioannis D. Platis
Journal D Analyse Mathematique 113 ( 1) 265 -291

16
2011
Metric currents and the Poincaré inequality

Katrin Fässler , Tuomas Orponen
Calculus of Variations and Partial Differential Equations 58 ( 2) 69

2019
On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups.

Katrin Fässler , Enrico Le Donne
Geometriae Dedicata 210 ( 1) 27 -42

2021
Boundedness of singular integrals on C1,α intrinsic graphs in the Heisenberg group

Vasileios Chousionis , Katrin Fässler , Tuomas Orponen
Advances in Mathematics 354 106745

17
2019
Uniqueness of minimisers for a Grötzsch-Belinskiĭ type inequality in the Heisenberg group

Zoltán M. Balogh , Katrin Fässler , Ioannis D. Platis
Conformal Geometry and Dynamics of The American Mathematical Society 19 ( 6) 122 -145

2
2015
Dorronsoro’s theorem in Heisenberg groups

Katrin Fässler , Tuomas Orponen
Bulletin of The London Mathematical Society 52 ( 3) 472 -488

1
2020
Quasiregular Mappings on Sub-Riemannian Manifolds

Katrin Fässler , Anton Lukyanenko , Kirsi Peltonen
The Journal of Geometric Analysis 26 ( 3) 1754 -1794

3
2016
Curve packing and modulus estimates

Katrin Fässler , Tuomas Orponen
Transactions of the American Mathematical Society 370 ( 7) 4909 -4926

1
2018