Quasidisks and the Zygmund property
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- by Zhu Laiyi and Zhong Lefan PDF
- Proc. Amer. Math. Soc. 124 (1996), 1801-1806 Request permission
Abstract:
In this paper, we obtain a new characterization of quasidisks by the Zygmund property.References
- V. K. Dzyadyk, Vvedenie v teoriyu ravnomernogo priblizheniya funktsiĭ polinomami, Izdat. “Nauka”, Moscow, 1977 (Russian). MR 0612836
- F. W. Gehring, Univalent functions and the Schwarzian derivative, Comment. Math. Helv. 52 (1977), no. 4, 561–572. MR 457701, DOI 10.1007/BF02567390
- F. W. Gehring and O. Martio, Quasidisks and the Hardy-Littlewood property, Complex Variables Theory Appl. 2 (1983), no. 1, 67–78. MR 707786, DOI 10.1080/17476938308814032
- Robert Kaufman and Jang-Mei Wu, Distances and the Hardy-Littlewood property, Complex Variables Theory Appl. 4 (1984), no. 1, 1–5. MR 770981, DOI 10.1080/17476938408814086
- O. Martio and J. Sarvas, Injectivity theorems in plane and space, Ann. Acad. Sci. Fenn. Ser. A I Math. 4 (1979), no. 2, 383–401. MR 565886, DOI 10.5186/aasfm.1978-79.0413
- L. Y. Zhu, Uniform domain and theorm of Zygmund, Kexue Tongbo, 37 (1992), 1153–1156. (Chinese)
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
- 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 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1801-1806
- MSC (1991): Primary 30EXX
- DOI: https://doi.org/10.1090/S0002-9939-96-03232-7
- MathSciNet review: 1307543