[KSCI] Korea Science Citation Index Service

Chung, Bohyun (Mathematics section, College of Science and Technology, Hongik University)

Publication Information

Abstract

In [2], D. Gaier has given an estimates of harmonic measure. In this paper, we generalize for the K-quasiconformal mapping the corresponding result.

Keywords

Quasiconformal mapping; harmonic measure;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

1	L.V. Ahlfors, Conformal Invariants. Topics in Geometric Function Theory, McGraw-Hill, New York, 1973.
2	D. Gaier, Estimates of conformal mappings near the boundary, Indiana Univ. Math. J. 21 (1992), 581-595.
3	W. K. Hayman, Multivalent functions, Cambridge, 1958.
4	R. Nevanlinna, Uber eine Minimumaufgabe in der theorie der knoformen Abbildung, Nachr. Akad. wiss. Gottingen 1933, 103-115.
5	C. Pommerenke, Uber die Kapazitat ebener Kontinuen, Math. Ann. 139 (1959), 64-75. DOI
6	J. Vaisala, On quasiconformal mappings in space, Ann. Acad. Sci. Fenn. AI 298, 1961, 1-36.
7	S. E. Warschawski, On differentiability at the boundary in conformal mapping, Proc. Amer. Math. Soc. 12 (1961), 614-620. DOI
8	S. E. Warschawski, On Holder continuity at the boundary in conformal maps, J. Math. Mech. 18 (1968), 423428.
9	Bohyun Chung, A note on geometric applications of extremal length (I), J. Appl. Math. and Computing., 18 (2005), no. 1-2, 603-611.
10	Bohyun Chung, Some applications of extremal length to analytic functions, Commn. Korean Math. Soc., 21 (2006), no. 1, 135-143. DOI
11	Bohyun Chung, Some applications of extremal length to conformal imbeddings, J. Chungcheong Math. Soc., 22 (2009), no. 2, 507-528.