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Katrin Fässler


  • Fässler Katrin; Ivan Yuri Violo. On various Carleson-type geometric lemmas and uniform rectifiability in metric spaces, arXiv:2310.10519


  • Fässler, Katrin; Jiayin Liu; Orponen, Tuomas. On the Hausdorff dimension of circular Furstenberg sets. Accepted for publication in Discrete Analysis, arXiv:2305.1158

  • Fässler, Katrin; Pinamonti, Andrea; Wald, Pietro. Kakeya maximal inequality in the Heisenberg group. Accepted for publication in  Ann. Norm. Super. Pisa Cl. Sci, arXiv:2212.01845, CVGMT

  • Fässler, Katrin; Orponen, Tuomas. Vertical projections in the Heisenberg group via cinematic functions and point-plate incidences, Adv. Math. 431 (2023), Paper No. 109248, 41 pp., arXiv:2210.00458

  • Fässler, Katrin; Orponen, Tuomas. A note on Kakeya sets of horizontal and SL(2) lines. Bull. Lond. Math. Soc. 55 (2023), no. 5, 2195–2204, arXiv:2210.09955

  • Adamowicz, Tomasz; Fässler, Katrin. Hardy spaces and quasiconformal maps in the Heisenberg group. J. Funct. Anal. 284 (2023), no. 6, Paper No. 109832, 68 pp, arXiv:2204.10016

  • Fässler, Katrin; Pinamonti, Andrea. Loomis-Whitney inequalities in Heisenberg groups. Math. Z. 301 (2022), no. 2, 1983–2010, arXiv:2104.06684

  • Di Donato, Daniela; Fässler, Katrin; Orponen, Tuomas. Metric rectifiability of H-regular surfaces with Hölder continuous horizontal normal. IMRN (2022), no. 22, 17909–17975, arXiv:1906.10215

  • Fässler, Katrin; Orponen, Tuomas. Riesz transform and vertical oscillation in the Heisenberg group. Anal. PDE 16 (2023), no. 2, 309–340, arXiv:1810.1312

  • Di Donato, Daniela; Fässler, Katrin. Extensions and corona decompositions of low-dimensional intrinsic Lipschitz graphs in Heisenberg groups. Ann. Mat. Pura Appl. (4) 201 (2022), no. 1, 453–486, arXiv:2012.12609

  • Fässler, Katrin; Orponen, Tuomas. Singular integrals on regular curves in the Heisenberg group. J. Math. Pures Appl. (9) 153 (2021), 30–113, arXiv:1911.03223

  • Fässler, Katrin; Orponen, Tuomas. Dorronsoro's theorem in Heisenberg groups. Bull. Lond. Math. Soc. 52 (2020), no. 3, 472–488, arXiv:1901.04767

  • Fässler, Katrin; Le Donne, Enrico. On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups. Geom. Dedicata 210 (2021), 27–42, arXiv:1811.02253

  • Fässler, Katrin; Orponen, Tuomas; Rigot, Séverine. Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group. Trans. Amer. Math. Soc. 373 (2020), no. 8, 5957–5996., arXiv:1803.04819

  • Fässler, Katrin; Orponen, Tuomas; Vertical versus horizontal Sobolev spaces. J. Funct. Anal. 279 (2020), no. 2, 108517, 37 pp, arXiv:1905.13630

  • Chousionis, Vasileios;  Fässler, Katrin; Orponen, Tuomas. Boundedness of singular integrals on C^{1,α} intrinsic graphs in the Heisenberg group. Adv. Math. 354 (2019): 106745, arXiv:1708.0844

  • Adamowicz, Tomasz; Fässler, Katrin; Warhurst, Ben. A Koebe distortion theorem for quasiconformal mappings in the Heisenberg group. Ann. Mat. Pura Appl. (4) 199 (2020), no. 1, 147–186, arXiv:1707.02832

  • Fässler, Katrin; Orponen, Tuomas. Metric currents and the Poincaré inequality. Calc. Var. Partial Differential Equations 58, 2 (2019), arXiv:1807.02969

  • Chousionis, Vasileios;  Fässler, Katrin; Orponen, Tuomas. Intrinsic Lipschitz graphs and vertical β-numbers in the Heisenberg group. Amer. Journal of Math. 141, 4 (2019): 1087-1147, arXiv:1606.07703

  • Balogh, Zoltan M.; Fässler, Katrin; Sobrino, Hernando. Isometric Embeddings into Heisenberg Groups. Geom. Ded. 195(1) (2018): 163-192, arXiv:1706.02077

  • Fässler, Katrin; Lukyanenko, Anton; Tyson, Jeremy T. Heisenberg quasiregular ellipticity. Rev. Mat. Iberoam. 35, 2 (2019): 471–520, arXiv:1610.07665

  • Fässler, Katrin; Orponen, Tuomas. Curve packing and modulus estimates. Trans. Amer. Math. Soc. 370 (2018): 4909-4926, arXiv:1602.01707

  • Fässler, Katrin; Hovila, Risto. Improved Hausdorff dimension estimate for vertical projections in the Heisenberg group. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XV (2016): 459-483.

  • Fässler, Katrin; Lukyanenko, Anton; Peltonen, Kirsi. Quasiregular Mappings on Sub-Riemannian Manifolds. J. Geom. Anal. 26, 3 (2016): 1754-1794, arXiv:1312.0271

  • Fässler, Katrin; Koskela, Pekka; Le Donne, Enrico. Nonexistence of Quasiconformal Maps Between Certain Metric Measure Spaces. Int Math Res Notices (2015) (16): 6968-6987, arXiv:1312.1305

  • Balogh, Zoltán M.; Fässler, Katrin; Platis, Ioannis D. Uniqueness of minimisers for a Grötzsch-Belinskiĭ type inequality in the Heisenberg group. Conform. Geom. Dyn. 19 (2015), 122–145.

  • Fässler, Katrin; Orponen, Tuomas On restricted families of projections in R3. Proc. Lond. Math. Soc. (3) 109 (2014), no. 2, 353–381, arXiv:1302.6550

  • Fässler, Katrin; Orponen, Tuomas Constancy results for special families of projections. Math. Proc. Cambridge Philos. Soc. 154 (2013), no. 3, 549–568, arXiv:1208.1876

  • Balogh, Zoltán M.; Fässler, Katrin; Platis, Ioannis D. Modulus method and radial stretch map in the Heisenberg group. Ann. Acad. Sci. Fenn. Math. 38 (2013), no. 1, 149–180.

  • Balogh, Zoltán M.; Durand-Cartagena, Estibalitz; Fässler, Katrin; Mattila, Pertti; Tyson, Jeremy T. The effect of projections on dimension in the Heisenberg group. Rev. Mat. Iberoam. 29 (2013), no. 2, 381–432.

  • Balogh, Zoltán M.; Fässler, Katrin; Mattila, Pertti; Tyson, Jeremy T. Projection and slicing theorems in Heisenberg groups. Adv. Math. 231 (2012), no. 2, 569–604.

  • Balogh, Zoltán M.; Fässler, Katrin; Peltonen, Kirsi Uniformly quasiregular maps on the compactified Heisenberg group. J. Geom. Anal. 22 (2012), no. 3, 633–665.

  • Balogh, Zoltán M.; Fässler, Katrin; Platis, Ioannis D. Modulus of curve families and extremality of spiral-stretch maps. J. Anal. Math. 113 (2011), 265–291.

  • Balogh, Zoltán M.; Fässler, Katrin S. Rectifiability and Lipschitz extensions into the Heisenberg group. Math. Z. 263 (2009), no. 3, 673–683.

Other notes
  • Fässler, Katrin; Orponen, Tuomas; Pinamonti, Andrea. Planar incidences and geometric inequalities in the Heisenberg group. 2020, arXiv:2003.05862 (superseded by arXiv:2104.06684)

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