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On comb domains
Author(s):
James
A.
Jenkins
Journal:
Proc. Amer. Math. Soc.
124
(1996),
187-191.
MSC (1991):
Primary 30D40, 31A15
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Abstract:
A result for comb domains is proved which is stronger than but in particular implies a conjecture of Rodin and Warschawski.
References:
- 1
- K. Burdzy, Brownian excursions and minimal thinness III, Math. Z. 192 (1986), 89--107.MR 89b:60175
- 2
- James A. Jenkins and Kôtaro Oikawa, Conformality and semi-conformality at the boundary , Reine Angew. Math. 291 (1977), 92--117.MR 55:12924
- 3
- B. Rodin and S. Warschawski, Extremal length and the boundary behavior of conformal mappings, Ann. Acad. Sci. Fenn. Ser. A I 2 (1976), 463--500.MR 57:6394
- 4
- ------, Extremal length and univalent functions I. The angular derivative, Math. Z. 153 (1977), 1--17.MR 58:28461
- 5
- ------, Remarks on a paper of K. Burdzy, J. Analyse Math. 46 (1986), 251--260.MR 87j:30079
- 6
- Swati Sastry, Existence of an angular derivative for a class of strip domains Proc. Amer. Math. Soc. 123 (1995), 1075--1082.MR 95e:30011
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Additional Information:
James
A.
Jenkins
Affiliation:
Department of Mathematics, Washington University, One Brookings Drive, Campus Box 1146, St. Louis, Missouri 63130
DOI:
10.1090/S0002-9939-96-03034-1
PII:
S 0002-9939(96)03034-1
Received by editor(s):
July 26, 1994
Communicated by:
Albert Baernstein II
Copyright of article:
Copyright
1996,
American Mathematical Society
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