On generalized quasiregular mappings

References

• Reshetnyak , YG . 1989 . “ Space Mappings of Bounded Distortion ” . In Translations of Mathematical Monographs , Vol. 73 , Providence , , RI : AMS .
   Google Scholar
• Rickman , S . 1993 . Quasiregular Mappings , Vol. 26 , Berlin : Springer-Verlag .
   Google Scholar
• Väisälä , J . 1971 . “ Lectures on n-dimensional quasiconformal mappings ” . In Lecture Notes in Mathematics , Vol. 229 , Berlin : Springer-Verlag .
   Google Scholar
• Vuorinen , M . 1976 . “ Exceptional sets and boundary behaviour of quasiregular mappings in n-space ” . In Ann. Acad. Sci. Fenn. , Vol. 11 , 1 – 44 . Dissertationes : Ser AI .
   Google Scholar
• Vuorinen , M . 1988 . “ Conformal geometry and quasiregular mappings ” . In Lecture Notes in Mathematics , Vol. 1319 , Berlin : Springer-Verlag .
   Google Scholar
• Cristea , M . 2006 . Mappings of finite distortion . Boundary extension. Rev. Roumaine Math. Pures Appl. , 51 ( 5–6 ) : 607 – 631 .
   Google Scholar
• Cristea , M . 2007 . Mappings of finite distortion, Zoric's theorem and equicontinuity results . Rev. Roumaine Math. Pures Appl. , 52 ( 5 ) : 539 – 554 .
   Google Scholar
• Holopainen , I and Pankka , P . 2004 . Mappings of finite distortion: Global homeomorphism theorem . Ann. Acad. Sci. Fenn., Math. , 29 : 135 – 151 .
   Google Scholar
• Kauhanen , J , Koskela , P , Malý , J and Zhong , X . 2003 . Mappings of finite distortion: Sharp Orlicz conditions . JEMS , 5 : 95 – 105 .
   Google Scholar
• Koskela , P , Onninen , J and Rajala , K . 2003 . Mappings of finite distortion: Injectivity radius of local homeomorphisms, Future Trends in Geometric Function Theory . RNC Workshop, JyvÄaskylÄa 2003, Rep. Univ. JyvÄaskylÄa Dept. Math. Stat. , 92 : 169 – 174 .
   Google Scholar
• Koskela , P and Onninen , J . 2005 . Mappings of finite distortion: Capacity and modulus inequalities . J. Reine Angew. Math. , 599 : 1 – 26 .
   Google Scholar
• Martio , O , Ryazanov , V , Srebro , U and Yakubov , E . 2005 . On Q-homeomorphisms . Ann. Acad. Sci. Fenn., Math. , 30 : 49 – 69 .
   Google Scholar
• Martio , O , Ryazanov , V , Srebro , U and Yakubov , E . 2009 . “ Moduli in Modern Mapping Theory ” . In Springer Monographs in Mathematics , New York : Springer .
   Google Scholar
• Rajala , K . 2004 . Mappings of finite distortion: Removability of Canter sets . Ann. Acad. Sci. Fenn., Math. , 26 : 269 – 281 .
   Google Scholar
• Rajala , K . 2004 . Mappings of finite distortion: Removable singularities for locally homeomorphic mappings . Proc. AMS , 123 : 3251 – 3258 .
   Google Scholar
• Ryazanov , V , Srebro , U and Yakubov , E . 1999 . To the theory of BMO-quasiregular mappings . Dokl. Nauk. Rossi , 364 : 13 – 15 .
   Google Scholar
• Ryazanov , V , Srebro , U and Yakubov , E . 2001 . BMO-quasiconformal mappings . J. Anal. Math. , 83 : 1 – 20 .
   Google Scholar
• Kovtonyuk , D and Ryazanov , V . 2008 . On the theory of lower Q-homeomorphisms . Ukrainean Math. Bull. , 5 ( 2 ) : 291 – 306 .
   Google Scholar
• Martio , O , Ryazanov , V , Srebro , U and Yakubov , E . 2004 . Mappings of finite length distortion . J. Anal. Math. , 93 : 215 – 236 .
   Google Scholar
• Ryazanov , V and Sevostyanov , E . 2008 . Toward the theory of ring Q-homeomorphisms . Israel J. Math. , 168 : 101 – 115 .
   Google Scholar
• Ryazanov , V and Sevostyanov , E . 2011 . Equicontinuity of mappings quasiconformal in the mean . Ann. Acad. Sci. Fenn., Math. , 36 : 1 – 14 .
   Google Scholar
• Salimov , R . 2010 . On regular homeomorphisms in the plane . Ann. Acad. Sci. Fenn., Math. , 35 : 285 – 289 .
   Google Scholar
• Salimov , R and Sevostyanov , E . 2010 . The theory of shell-based Q-mappings in geometric function theory . Sbornik: Math. V. , 201 ( 6 ) : 909 – 934 .
   Google Scholar
• Sevostyanov , E . 2008 . Theorems of Liouville, Picard and Sohotskii for ring mappings . Ukrainean Math. Bull. , 3 : 366 – 381 .
   Google Scholar
• Sevostyanov , E . 2010 . Towards a theory of removable singularities for maps with unbounded characteristics of quasi-conformity . Izvestya. Math. , 74 ( 1 ) : 151 – 165 .
   Google Scholar
• Cristea , M . 2008 . Local homeomorphisms having local ACL n inverses . Complex Var. Elliptic Eqns , 53 ( 1 ) : 77 – 99 .
   Google Scholar
• Cristea , M . 2010 . Open, discrete mappings having local ACL n inverses . Complex Var. Elliptic Eqns , 55 ( 1–3 ) : 61 – 90 .
   Google Scholar
• Golberg , A . 2005 . Generalized classes of quasiconformal homeomorphisms . Math. Rep. , 7 ( 57 ) : 289 – 303 .
   Google Scholar
• Cristea , M . 1989 . Some conditions of quasiconformality . Ann. Acad. Sci. Fenn., Ser AI, Math. , 14 : 345 – 350 .
   Google Scholar
• Hencl , S and Malý , J . 2002 . Mappings of finite distortion. Hausdorff measure of zero sets . Math. Ann. , 324 : 451 – 464 .
   Google Scholar
• Cazacu , CAndreian . 1969 . “ Influence of the Orientation of the Characteristic Ellipses on the Properties of Quasiconformal Mappings ” . In Proceedings of the Romanian–Finnish Seminar on Teichmüller Spaces and Riemann Surfaces , 65 – 85 . Brasov : Editura Academiei RSR . 1971
   Google Scholar
• Harjulehto , P , Hästo , P and Martio , O . 2004 . Fuglede's theorem in variable exponent Sobolev space . Collect. Math. , 55 ( 3 ) : 315 – 324 .
   Google Scholar
• Caraman , P . 1994 . Relations between p-capacity and p-module (I) . Rev. Roumaine Math. Pures Appl. , 39 ( 6 ) : 509 – 553 .
   Google Scholar
• Whyburn , GT . 1942 . Analytic Topology, Colloquium Publications , Vol. 28 , Providence , , RI : AMS .
   Google Scholar
• Adamowicz , T and Shanmugalingam , N . 2010 . Non-conformal Loewner type estimates for modulus of curve families . Ann. Acad. Sci. Fenn., Math. , 35 : 609 – 626 .
   Google Scholar