참고문헌
- T. A. Azeroglu and B. N. Ornek, A refined Schwarz inequality on the boundary, Complex Var. Elliptic Equ. 58 (2013), no. 4, 571-577. https://doi.org/10.1080/17476933.2012.718338
- H. P. Boas, Julius and Julia: mastering the art of the Schwarz lemma, Amer. Math. Monthly 117 (2010), no. 9, 770-785. https://doi.org/10.4169/000298910x521643
- D. M. Burns and S. G. Krantz, Rigidity of holomorphic mappings and a new Schwarz lemma at the boundary, J. Amer. Math. Soc. 7 (1994), no. 3, 661-676. https://doi.org/10.1090/S0894-0347-1994-1242454-2
- D. Chelst, A generalized Schwarz lemma at the boundary, Proc. Amer. Math. Soc. 129 (2001), no. 11, 3275-3278. https://doi.org/10.1090/S0002-9939-01-06144-5
- V. N. Dubinin, The Schwarz inequality on the boundary for functions regular in the disc, J. Math. Sci. (N. Y.) 122 (2004), no. 6, 3623-3629; translated from Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 286 (2002), Anal. Teor. Chisel i Teor. Funkts. 18, 74-84, 228-229. https://doi.org/10.1023/B:JOTH.0000035237.43977.39
- V. N. Dubinin, Bounded holomorphic functions covering no concentric circles, J. Math. Sci. (N.Y.) 207 (2015), no. 6, 825-831. https://doi.org/10.1007/s10958-015-2406-5
- M. Elin, F. Jacobzon, M. Levenshtein, and D. Shoikhet, The Schwarz lemma: rigidity and dynamics, in Harmonic and complex analysis and its applications, 135-230, Trends Math, Birkhauser/Springer, Cham, 2014.
- G. M. Goluzin, Geometrical Theory of Functions of a Complex Variable, (Russian), Second edition. Edited by V. I. Smirnov. With a supplement by N. A. Lebedev, G. V. Kuzmina and Ju. E. Alenicyn, Izdat. "Nauka", Moscow, 1966.
- M. Jeong, The Schwarz lemma and boundary fixed points, J. Korean Soc. Math. Educ. Ser. B Pure Appl. Math. 18 (2011), no. 3, 275-284.
- M. Jeong, The Schwarz lemma and its application at a boundary point, J. Korean Soc. Math. Educ. Ser. B Pure Appl. Math. 21 (2014), no. 3, 219-227.
- S. G. Krantz, The Schwarz lemma at the boundary, Complex Var. Elliptic Equ. 56 (2011), no. 5, 455-468. https://doi.org/10.1080/17476931003728438
- A. Lecko and B. Uzar, A note on Julia-Caratheodory theorem for functions with fixed initial coefficients, Proc. Japan Acad. Ser. A Math. Sci. 89 (2013), no. 10, 133-137. https://doi.org/10.3792/pjaa.89.133
- M. Mateljevic, Ahlfors-Schwarz lemma and curvature, Kragujevac J. Math. 25 (2003), 155-164.
- M. Mateljevic, Schwarz lemma, the Caratheodory and Kobayashi metrics and applications in complex analysis, XIX GEOMETRICAL SEMINAR, At Zlatibor (2016), 1-12.
- M. Mateljevic, Hyperbolic geometry and Schwarz lemma, ResearchGate 2016.
- M. Mateljevic, Note on Rigidity of Holomorphic Mappings & Schwarz and Jack Lemma, (in preparation), ResearchGate.
- B. N. Ornek, Sharpened forms of the Schwarz lemma on the boundary, Bull. Korean Math. Soc. 50 (2013), no. 6, 2053-2059. https://doi.org/10.4134/BKMS.2013.50.6.2053
- B. N. Ornek, Caratheodory's inequality on the boundary, J. Korean Soc. Math. Educ. Ser. B Pure Appl. Math. 22 (2015), no. 2, 169-178.
- B. N. Ornek, A sharp Caratheodory's inequality on the boundary, Commun. Korean Math. Soc. 31 (2016), no. 3, 533-547. https://doi.org/10.4134/CKMS.c150194
- R. Osserman, A sharp Schwarz inequality on the boundary, Proc. Amer. Math. Soc. 128 (2000), no. 12, 3513-3517. https://doi.org/10.1090/S0002-9939-00-05463-0
- Ch. Pommerenke, Boundary Behaviour of Conformal Maps, Grundlehren der Mathematischen Wissenschaften, 299, Springer-Verlag, Berlin, 1992.
-
X. Tang, T. Liu, and J. Lu, Schwarz lemma at the boundary of the unit polydisk in
$C^n$ , Sci. China Math. 58 (2015), no. 8, 1639-1652. https://doi.org/10.1007/s11425-015-4975-7