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Quasidisks and the Zygmund property
Author(s):
Zhu
Laiyi;
Zhong
Lefan
Journal:
Proc. Amer. Math. Soc.
124
(1996),
1801-1806.
MSC (1991):
Primary 30EXX
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Abstract:
In this paper, we obtain a new characterization of quasidisks by the Zygmund property.
References:
- 1.
- V. K. Dzjadyk, Introduction to the theory of uniform approximation of functions by polynomials, Nauk, Moscow, 1977. (Russian) MR 58:29579
- 2.
- F. W. Gehring, Univalent functions and the Schwarzian derivative, Comment. Math. Helv. 52 (1977), 561--572. MR 56:15905
- 3.
- F. W Gehring and O. Martio, Quasidisks and the Hardy-Littlewood property, Complex Variables Theory Appl. 2 (1983), 67--78. MR 84k:30020
- 4.
- R. Kaufman and J. M. Wu, Distances and the Hardy-Littlewood property, Complex Variables Theory Appl. 4 (1984), 1--5. MR 86d:30031
- 5.
- O. Martio and J. Sarvas, Injectivity theorems in plane and space, Ann. Acad. Sci. Fenn. 4 (1979), 383--401. MR 81i:30039
- 6.
- L. Y. Zhu, Uniform domain and theorm of Zygmund, Kexue Tongbo, 37 (1992), 1153--1156. (Chinese)
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Additional Information:
Zhu
Laiyi
Affiliation:
Department of Information, People's University, Beijing, 100872, People's Republic of China
Zhong
Lefan
Affiliation:
Department of Mathematics, Peking University, Beijing, 100871, People's Republic of China
DOI:
10.1090/S0002-9939-96-03232-7
PII:
S 0002-9939(96)03232-7
Received by editor(s):
March 23, 1994
Received by editor(s) in revised form:
September 27, 1994 and November 30, 1994
Additional Notes:
This research was supported by the National Science Foundation of China
Communicated by:
Albert Baernstein II
Copyright of article:
Copyright
1996,
American Mathematical Society
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