Publikationen Prof. Dr. Zoltán Balogh

Preprints

• Modulus of Curve Families and Extremality of Spiral-Stretch Maps. With Katrin Fässler and Ioannis D. Platis (x-unknown-application-pdf, 261KB)
• Exceptional Sets for Self-similar Fractals in Carnot Groups. With Reto Berger, Roberto Monti and Jeremy T. Tyson.To appear in the Mathematical Proceedings of Cambridge Phil. Soc. (x-pdf, 295KB)
• Functional inequalities and Hamilton-Jacobi Equations in Geodesic Spaces. With Alexandre Engoulatov, Lars Hunziker, Outi Elina Maasalo (pdf, 223KB)
• Uniformly quasiregular maps on the compactified Heisenberg group. With Katrin Fässler, Kirsi Peltonen. To appear in the Journal of Geometric Analysis. (pdf, 289KB)
• Definition and Regularity of Quasiconformal Maps in Metric Spaces. Lecture Notes, Summer School Trento Italy, 2005 (pdf, 531KB)

Papers

• Rectifiability and Lipschitz extensions into the Heisenberg group. With Katrin S. Fässler. Mathematische Zeitschrift, 263 (2009), no. 3, 673-683
  
• Sub-Riemannian vs. Euclidean dimension
  comparison and fractal geometry on Carnot groups. With Jeremy T. Tyson, Ben Warhurst. Adv. Math. 220 (2009), no. 2, 560-619
  
• Gromov's dimension comparison problem on Carnot groups. With Jeremy T. Tyson, Ben Warhurst. C. R. Math. Acad. Sci. Paris 346 (2008), no. 3-4, 135-138.
  
•  Self-similar sets in doubling spaces. With Heiner Rohner. Illinois J. Math. 51 (2007), no. 4, 1275-1297
  
• Absolute continuity of quasiconformal mappings on curves. With P. Koskela and S. Rogovin. Geom. Funct. Anal. 17 (2007), no. 3, 645-664
  
• Lifts of Lipschitz maps and horizontal fractals in the Heisenberg group. With Regula Hoefer-Isenegger, Jeremy T. Tyson. Ergodic Theory Dynam. Systems 26 (2006), no. 3, 621 - 651.
  
• Scaled-oscillation and regularity. With Marianna Csörnyei. Proc. Amer. Math. Soc. 134 (2006), no. 9, 2667 - 2675.
  
• Sphericalization and flattening. With S. Buckley. Conform. Geom. Dyn. 9 (2005), 76 - 101 (electronic).
  
• Hausdorff dimension of self-similar and self-affine fractals in the Heisenberg group. With J. Tyson. Proc. London Math. Soc. (3) 91 (2005), no. 1, 153 - 183.
  
• The Stepanov differentiability theorem in metric measure spaces. With Kevin Rogovin and Thomas Zuercher. Journal of Geometric Analysis, 2004, 405 - 422.
  
• Regularity of convex functions on Heisenberg groups. With M. Rickly. Ann. Scuola Norm. Sup. Pisa Cl. Sci (5), Vol. II (2003), 847 - 868.
  
• Transversal R^d-actions on CR-manifolds and embeddability. With Ch. Leuenberger. Tohoku Math. J. (2) 55 (2003), no. 4, 507 - 527.
  
• Accessible domains in the Heisenberg group. With R. Monti. Proc. Amer. Math. Soc. 132 (2004), no. 1, 97 - 106.
  
• Fundamental solution for the Q-Laplacian and sharp Moser-Trudinger inequality in Carnot groups. With J. Manfredi and J. Tyson. J. Funct. Anal. 204 (2003), 35 - 49.
  
• Size of characteristic sets and functions with prescribed gradients. J. für die Reine und Angewandte Mathematik 564 (2003), 63 - 83.
  
• Geometric charaterizations of Gromov hyperbolicity. With S.M. Buckley. Inventiones Math. 153 (2003), 261 - 301.
  
• Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric. With M. Rickly and F. Serra Cassano. Publicacions Math. 47 (2003), 237 - 259.
  
• Potential theory in Carnot groups. With J. Tyson. Amer. Math. Soc. Contemp. Math. 320 (2003), 15 - 27.
  
• Singular solutions, homogeneous norms and quasiconformal mappings in Carnot groups. With I. Holopainen and J. Tyson. Math. Ann. 324 (2002), no. 1, 159 - 186.
  
• Polar coordinates on Carnot groups. With J. Tyson. Math. Z. 241 (2002), no. 4, 697 - 730.
  
• Hausdorff dimension distribution of quasiconformal mappings on the Heisenberg group. J. Anal. Math. 83 (2001), 289 - 312.
  
• Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains. With M. Bonk. Comment. Math. Helv. 75 (2000), no. 3, 504 - 533.
  
• Lempert mappings and holomorphic motions in C^n. With K. Astala and H. M. Reimann. Géométrie complexe et systèmes dynamiques (Orsay, 1995). Astérisque No. 261 (2000), xi, 1 - 12.
  
• Quasiconformality, quasisymmetry, and removability in Loewner spaces. With P. Koskela. With an appendix by Jussi Väisälä. Duke Math. J. 101 (2000), no. 3, 554 - 577.
  
• Quasiconformal contactomorphisms and polynomial hulls with convex fibers. With Ch. Leuenberger. Canad. J. Math. 51 (1999), no. 5, 915 - 935.
  
• Equivariant contactomorphisms of circular surfaces. Houston J. Math. 25 (1999), no. 2, 259 - 266.
  
• Pseudoconvexity and Gromov hyperbolicity. With M. Bonk. C. R. Acad. Sci. Paris Sér. I, Math. 328 (1999), no. 7, 597 - 602.
  
• Lengths of radii under conformal maps of the unit disc. With M. Bonk. Proc. Amer. Math. Soc. 127 (1999), no. 3, 801 - 804.
  
• Higher-dimensional Riemann maps. With Ch. Leuenberger. Internat. J. Math. 9 (1998), no. 4, 421 - 442.
  
• Conformally maximal polynomial-like dynamics and invariant harmonic measure. With I. Popovici and A. Volberg. Ergodic Theory Dynam. Systems 17 (1997), no. 1, 1 - 27.
  
• Lempert mappings and symplectic forms. With Ch. Leuenberger. Proc. Amer. Math. Soc. 125 (1997), no. 11, 3289 - 3292.
  
• Boundary Harnack principle for separated semihyperbolic repellers, harmonic measure applications. With A. Volberg. Rev. Mat. Iberoamericana 12 (1996), no. 2, 299 - 336.
  
• Geometric localization, uniformly John property and separated semihyperbolic dynamics. With A. Volberg. Ark. Mat. 34 (1996), no. 1, 21 - 49.

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