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ISSN : 1226-0657

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Vol.18 No.3

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THE SCHWARZ LEMMA AND BOUNDARY FIXED POINTS

THE SCHWARZ LEMMA AND BOUNDARY FIXED POINTS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2011, v.18 no.3, pp.275-284
https://doi.org/10.7468/jksmeb.2011.18.3.275
Jeong, Moon-Ja (Department of Mathematics, University of Suwon)
Jeong, Moon-Ja. (2011). THE SCHWARZ LEMMA AND BOUNDARY FIXED POINTS. 한국수학교육학회지시리즈B:순수및응용수학, 18(3), 275-284, https://doi.org/10.7468/jksmeb.2011.18.3.275

Abstract

In this note we study the Schwarz lemma and its various versions. We find a condition for a holomorphic map to have fixed points only on the boundary of the unit disc and compare its derivatives at fixed points to get some relations among them.

keywords
Schwarz lemma, boundary fixed point, unit disc, holomorphic map

참고문헌

1.

2.

(2008). . SIAM News, 41(1).

3.

(1994). . J. Amer. Math. Soc., 7, 661-676. 10.1090/S0894-0347-1994-1242454-2.

4.

(2000). . Proc. Amer. Math. Soc., 128, 3513-3517. 10.1090/S0002-9939-00-05463-0.

5.

(2010). . Amer. Math. Monthly, 117, 770-785. 10.4169/000298910X521643.

6.

(2000). . Ann. Math., 152, 551-592. 10.2307/2661392.

7.

8.

(2005). . Comput. Methods Funct. Theory, 5, 159-184. 10.1007/BF03321093.

9.

10.

11.

(1981). . Proc. Amer. Math. Soc., 81, 521-527. 10.1090/S0002-9939-1981-0601721-6.

12.

13.

14.

(1999). . Notices Amer. Math. Soc., 46, 868-873.

15.

(1971). . J. London Math. Soc., 3, 469-474.

16.

(1920). . Acta Math., 42, 349-355. 10.1007/BF02404416.

17.

(1997). . J. Math. Anal. Appl., 205, 508-511. 10.1006/jmaa.1997.5217.

한국수학교육학회지시리즈B:순수및응용수학

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