Annales Academię Scientiarum Fennicę
Mathematica
Volumen 34, 2009, 545-553

APPROXIMABLE QUASIDISKS

Ngin-Tee Koh

University of Illinois, Department of Mathematics
Urbana, IL 61801, U.S.A.; nkoh 'at' uiuc.edu

Abstract. In this paper, we study a question posed by Anderson and Hinkkanen [AH]: what quasidisks are approximable? We show that a quasidisk bounded by an analytic curve is approximable.

2000 Mathematics Subject Classification: Primary 30C62, 30E10.

Key words: Approximable quasidisk, Douady-Earle extension, quasiconformal extension, quasiconformal mapping, quasiconformal reflection, univalence criteria.

Reference to this article: N.-T. Koh: Approximable quasidisks. Ann. Acad. Sci. Fenn. Math. 34 (2009), 545-553.

Full document as PDF file

Copyright © 2009 by Academia Scientiarum Fennica