Nonremovable sets for hölder continuous quasiregular mappings in the plane

Michigan Mathematical Journal

Volumn 55, Issue 1, 2007, Pages 195-208

  Clop, Albert ^a  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34250890187     PISSN: 00262285     EISSN: None     Source Type: Journal    
DOI: 10.1307/mmj/1177681993     Document Type: Article

References (12)

1. L. V. Ahlfors, Lectures on quasiconformal mappings, Wadsworth & Brooks/Cole Adv. Books Software, Monterey, CA, 1987.
2. K. Astala, Area distortion of quasiconformal mappings, Acta Math. 173 (1994), 37-60.
3. K. Astala, A. Clop, J. Mateu, J. Orobitg, and I. Uriarte-Tuero, Distortion of Hausdorff measures and improved Painlevé removability for quasiregular mappings, submitted.
4. K. Astala, T. Iwaniec, P. Koskela, and G. Martin, Mappings of BMO-bounded distortion, Math. Ann. 317 (2000), 703-726.
5. K. Astala, T. Iwaniec, and G. Martin, book in preparation.
6. A. Clop, Removable singularities for Hölder continuous quasiregular mappings in the plane, Ann. Acad. Sci. Fenn. Math. 32 (2007), 171-178.
7. E. P. Doližnko, The removability of singularities of analytic functions, Uspekhi Mat. Nauk 18 (1963) no. 4 (112), 135-142 (in Russian).
8. M. Giaquinta, Multiple integrals in the calculus of variations and nonlinear elliptic systems, Ann. of Math. Stud., 105, Princeton Univ. Press, Princeton, NJ, 1983.
9. J. Král, Analytic capacity, Elliptische Differentialgleichungen (Rostock, 1977), pp. 133-142, Wilhelm-Pieck-Univ., Rostock, 1978.
10. P. Mattila, Geometry of sets and measures in Euclidean spaces, Cambridge Stud. Adv. Math., 44, Cambridge Univ. Press, 1995.
11. H. M. Reimann, Functions of bounded mean oscillation and quasiconformal mappings, Comment. Math. Helv. 49 (1974), 260-276.
12. Nguyen Xuan Uy, Removable singularities of analytic functions satisfying a Lipschitz condition, Ark. Mat. 17 (1979), 19-27.