Kai Rajala

Publications and preprints

  1. Conformal uniformization of domains bounded by quasitripods, preprint, 2024. (with B. Esmayli) preprint
  2. Exhaustions of circle domains, preprint, 2023. (with D. Ntalampekos) preprint
  3. Mappings of finite distortion on metric surfaces, preprint, 2023. (with D. Meier) preprint
  4. Coarea inequality for monotone functions on metric surfaces, Trans. Amer. Math. Soc., 376 (2023), 7377--7406. (with B. Esmayli and T. Ikonen) preprint
  5. Uniformization of planar domains by exhaustion, Amer. J. Math, to appear. preprint
  6. Quasisymmetric Koebe uniformization with weak metric doubling measures, Illinois J. Math. 65 (2021), no. 4, 749--767. (with M. Rasimus) preprint
  7. Uniformization with infinitesimally metric measures, J. Geom. Anal., 31 (2021), no. 11, 11445--11470. (with M. Rasimus and M. Romney) preprint
  8. Duality of moduli in regular metric spaces, Indiana Univ. Math. J., 70 (2021), no. 3, 1087--1102. (with A. Lohvansuu) preprint
  9. Reciprocal lower bound on modulus of curve families in metric spaces, Ann. Acad. Sci. Fenn. Math., 44 (2019), no. 2, 681--692. (with M. Romney)
  10. Quasispheres and metric doubling measures, Proc. Amer. Math. Soc., 146 (2018), no. 7, 2973--2984. (with A. Lohvansuu and M. Rasimus)
  11. Uniformization of two-dimensional metric surfaces, Invent. Math., 207 (2017), no. 3, 1301--1375.
  12. Wolfe's theorem for weakly differentiable cochains, J. Funct. Anal., 268 (2015), no. 8, 2261--2297. (with C. Petit and S. Wenger)
  13. Exponential integrability of mappings of finite distortion, Rev. Mat. Iberoam., 31 (2015), no. 4, 1459--1476. (with T. Äkkinen)
  14. Quasiregular ellipticity of open and generalized manifolds, Comput. Methods Funct. Theory. Special volume dedicated to the memory of Fred Gehring, 14 (2014), no. 2-3, 383--398. (with P. Pankka and J-M. Wu)
  15. An upper gradient approach to weakly differentiable cochains, J. Math. Pures Appl., 100 (2013), no. 6, 868--906. (with S. Wenger)
  16. Bonnesen's inequality for John domains in R^n, J. Funct. Anal., 263 (2012), no. 11, 3617--3640. (with X. Zhong)
  17. Optimal assumptions for discreteness, Arch. Rational Mech. Anal., 207 (2013), 775--783. (with S. Hencl)
  18. Mappings of finite distortion and asymmetry of domains, Ann. Acad. Sci. Fenn. Math., 38 (2013), no. 1, 367--375. (with G. Moscariello and A. Passarelli di Napoli)
  19. Openness and discreteness for mappings of finite distortion, Rend. Lincei Mat. Appl., 23 (2012), 1--7. (with S. Hencl)
  20. Mappings of finite distortion: decay of the Jacobian, J. Geom. Anal., 22 (2012), no. 4, 964--976. (with P. Koskela and J. Onninen)
  21. Quantitative isoperimetric inequalities and homeomorphisms with finite distortion, Ann. Sc. Norm. Super. Pisa, 11 (2012), no. 1, 177--196.
  22. Quasiconformal extension fields, Calc. Var. Partial Differential Equations, 42 (2011), no. 1--2, 73--91. (with P. Pankka)
  23. Quasiregularly elliptic link complements, Geom. Dedicata, 154 (2011), no. 1, 1--8. (with P. Pankka)
  24. Reshetnyak's theorem and the inner distortion, Pure Appl. Math. Q., Special issue in honor of Frederick W. Gehring, 7 (2011), no. 2, 411--424.
  25. Remarks on the Iwaniec-Sverak conjecture, Indiana Univ. Math. J., 59 (2010), no. 6, 2027--2040.
  26. Invertibility of Sobolev mappings under minimal hypotheses, Ann. Inst. H. Poincare Anal. Non Lineaire, 27 (2010), no. 2, 517--528. (with L. Kovalev and J. Onninen)
  27. Quasiconformal frames, Arch. Rational Mech. Anal., 196 (2010), no. 3, 839--866. (with J. Heinonen and P. Pankka)
  28. Quasiregular mappings to generalized manifolds, J. Anal. Math., 109 (2009), 33--79. (with J. Onninen)
  29. Sharp exponential integrability for traces of monotone Sobolev functions, Nagoya Math. J., 192 (2008), 137--149. (with P. Pankka and P. Poggi-Corradini)
  30. Radial limits of quasiregular local homeomorphisms, Amer. J. Math., 130 (2008). no. 1, 269--289.
  31. An egg-yolk principle and exponential integrability for quasiregular mappings, J. London Math. Soc., 76 (2007), no. 2, 531--544. (with P. Poggi-Corradini)
  32. Bloch's theorem for mappings of bounded and finite distortion, Math. Ann., 339 (2007), no. 2, 445--460.
  33. Surface families and boundary behavior of quasiregular mappings, Illinois J. Math., 49 (2005), no. 4, 1145--1153.
  34. Distortion of quasiconformal and quasiregular mappings at extremal points, Michigan Math. J., 53 (2005), no. 2, 447--458.
  35. The local homeomorphism property of spatial quasiregular mappings with distortion close to one, Geom. Funct. Anal., 15 (2005), no. 5, 1100--1127.
  36. Mappings of finite distortion: the Rickman-Picard theorem for mappings of finite lower order, J. Anal. Math., 94 (2004), 235--248.
  37. Mappings of finite distortion: Removability of Cantor sets, Ann. Acad. Sci. Fenn. Math., 29 (2004), no. 2, 269--281.
  38. A remark on Poincare inequalities on metric measure spaces, Math. Scand., 95 (2004), no. 2, 299--304. (with S. Keith)
  39. Mappings of finite distortion: Removable singularities for locally homeomorphic mappings, Proc. Amer. Math. Soc., 132 (2004), no. 11, 3251--3258.
  40. A lower bound for the Bloch radius of K-quasiregular mappings, Proc. Amer. Math. Soc., 132 (2004), no. 9, 2593--2601.
  41. Mappings of finite distortion: Injectivity radius of a local homeomorphism, pp 169--174 in 'Future Trends in Geometric Function Theory RNC Workshop Jyväskylä 2003', Report 92, Department of Mathematics and Statistics, University of Jyväskylä 2003. (with P. Koskela and J. Onninen)
  42. Mappings of finite distortion: Removable singularities, Ph. D. Thesis, Report 91, Department of Mathematics and Statistics, University of Jyväskylä 2003.
  43. Mappings of finite distortion: Removable singularities, Israel J. Math., 136 (2003), 269--283. (with P. Koskela)
  44. Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces, J. Funct. Anal., 202 (2003), no. 1, 147--173. (with P. Koskela and N. Shanmugalingam)