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Schwarz lemma for circular domains and its applications. (English) Zbl 0448.32011

MSC:
32H99 Holomorphic mappings and correspondences
32A30 Other generalizations of function theory of one complex variable (should also be assigned at least one classification number from Section 30-XX)
30C80 Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination
32A07 Special domains in \({\mathbb C}^n\) (Reinhardt, Hartogs, circular, tube) (MSC2010)
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[1] R. R. Simha, ?Holomorphic mappings between balls and polydiscs,? Proc. Am. Math. Soc.,54, No. 1, 241-242 (1976). · Zbl 0326.32003 · doi:10.1090/S0002-9939-1976-0402100-5
[2] B. V. Shabat, Introduction to Complex Analysis [in Russian], Nauka, Moscow (1969). · Zbl 0188.37902
[3] S. I. Pinchuk, ?On analytic continuation of holomorphic mappings,? Mat. Sb.,98, No. 3, 416-435 (1975).
[4] H. Oeljeklans, ?Über die Automorphismengruppe von Ellipsoiden,? Math. Ann.,206, No. 3, 225-236 (1973). · Zbl 0268.32015 · doi:10.1007/BF01429210
[5] S. M. Webster, ?On the mapping problem for algebraic real hypersurfaces,? Notices Am. Math. Soc.,24, No. 5, 473 (1977). · Zbl 0348.32005
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