References
- Martio O, Srebro U. Automorphic quasimeromorphic mappings in Rn. Acta Math. 1975;135:221–247. doi: https://doi.org/10.1007/BF02392020
- Martio O, Srebro U. Periodic quasimeromorphic mappings in Rn. J d'Anal Math. 1975;28(1):20–40. doi: https://doi.org/10.1007/BF02786804
- Ryazanov V, Volkov S. On the boundary behavior of mappings in the class Wloc1,1 on Riemann surfaces. Complex Anal Oper Theory. 2017;11:1503–1520. doi: https://doi.org/10.1007/s11785-016-0618-4
- Ryazanov V, Volkov S. Prime ends in the Sobolev mapping theory on Riemann surfaces. Mat Stud. 2017;48:24–36. doi: https://doi.org/10.15330/ms.48.1.24-36
- Vuorinen M. Conformal geometry and quasiregular mappings. Berlin: Springer–Verlag; 1988. (Lecture notes in math; 1319).
- Apanasov BN. Conformal geometry od discrete groups and manifolds. Berlin (NY): Walter de Gruyter; 2000.
- Väisälä J. Lectures on n-dimensional quasiconformal mappings. Berlin: Springer-Verlag; 1971. (Lecture notes in math; 229).
- Martio O, Ryazanov V, Srebro U, et al. Moduli in modern mapping theory. New York: Springer Science+Business Media, LLC; 2009.
- Rickman S. Quasiregular mappings. Berlin: Springer-Verlag; 1993.
- Poletskii EA. The modulus method for non-homeomorphic quasiconformal mappings. Mat Sb. 1970;83(2):261–272. (in Russian).
- Väisälä J. Disrete open mappings on manifolds. Ann Acad Sci Fenn Ser A1 Math. 1966;392:1–10.
- Maly J, Martio O. Lusin's condition N and mappings of the class Wloc1,n. J Reine Angew Math. 1995;458:19–36.
- Väisälä J. Two new characterizations for quasiconformality. Ann Acad Sci Fenn Ser A1 Math. 1965;362:1–12.
- Martio O, Ryazanov V, Srebro U, et al. Mappings with finite length distortion. J d'Anal Math. 2004;93:215–236. doi: https://doi.org/10.1007/BF02789308
- Cristea M. Open discrete mappings having local ACLn inverses. Complex Var Elliptic Equ. 2010;55(1–3):61–90. doi: https://doi.org/10.1080/17476930902998985
- Cristea M. Local homeomorphisms satisfying generalized modular inequalities. Complex Var Elliptic Equ. 2014;59(10):1363–1387. doi: https://doi.org/10.1080/17476933.2013.845176
- Cristea M. Direct products of quasiregular mappings on metric spaces. Rev Roumaine Math Pures Appl. 2008;53(4):285–296.
- Cristea M. Quasiregularity in metric spaces. Rev Roumaine Math Pures Appl. 2006;51(3):291–310.
- Guo C-Y. Mappings of finite distortion between metric measure spaces. Conform Geom Dyn. 2015;19:95–121. doi: https://doi.org/10.1090/ecgd/277
- Guo C-Y, Williams M. The branch set of a quasiregular mapping between metric manifolds. C R Math Acad Sci Paris. 2016;354(2):155–159. doi: https://doi.org/10.1016/j.crma.2015.10.022
- Soultanis E, Williams M. Marshall distortion of quasiconformal maps in terms of the quasihyperbolic metric. J Math Anal Appl. 2013;402(2):626–634. doi: https://doi.org/10.1016/j.jmaa.2013.01.061
- Heinonen J. Lectures on analysis on metric spaces. New York: Springer Science+Business Media; 2001.
- Kuratowski K. Topology. Vol. 1. New York–London: Academic Press; 1968.
- Federer H. Geometric measure theory. Berlin: Springer; 1969.
- Saks S. Theory of the integral. New York: Dover; 1964.
- Martio O, Rickman S, Väisälä J. Definitions for quasiregular mappings. Ann Acad Sci Fenn Ser A1. 1969;448:1–40.
- Salimov RR, Sevost'yanov EA. The Poletskii and Väisälä inequalities for the mappings with (p,q)-distortion. Complex Var Elliptic Equ. 2014;59(2):217–231. doi: https://doi.org/10.1080/17476933.2012.731397
- Il'yutko DP, Sevost'yanov EA. Boundary behaviour of open discrete mappings on Riemannian manifolds. Sb Math. 2018;209(5):605–651. doi: https://doi.org/10.1070/SM8860
- Ignat'ev A, Ryazanov V. Finite mean oscillation in mapping theory. Ukr Mat Visn. 2005;2(3):395–417. (in Russian); English transl. in Ukr Math Bull. 2005;2(3):403–424.
- Sevost'yanov EA, Markysh AA. On Sokhotski–Casorati–Weierstrass theorem on metric spaces. Complex Var Elliptic Equ. 2019;64(12):1973–1993. doi: https://doi.org/10.1080/17476933.2018.1557155
- Sevost'yanov EA. Local and boundary behavior of maps in metric spaces. St Petersburg Math J. 2017;28(6):807–824. doi: https://doi.org/10.1090/spmj/1475
- Reimann HM, Rychener T. Funktionen Beschränkter Mittlerer Oscillation. Berlin: Springer–Verlag; 1975. (Lecture notes in math; 487).