The ratio of invariant metrics on the annulus and theta functions

• Autorzy: Kazuo Azukawa
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1995
• Tom: 31
• Numer: 1
• Strony: 53-60

Daty

wydano

1995

Twórcy

autor

Kazuo Azukawa

• Department of Mathematics, Toyama University, Gofuku, Toyama 930, Japan

Bibliografia

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• [2] K. Azukawa, The invariant pseudo-metric related to negative plurisubharmonic functions Kodai Math. J. 10 (1987), 83-92
• [3] E. Bedford and B. A. Taylor, Plurisubharmonic functions with logarithmic singularities Ann. Inst. Fourier (Grenoble) 38 (1988), 133-171
• [4] K. Chandrasekharan, Elliptic Functions Springer, New York, 1985.
• [5] C. Carathéodory, Über die Geometrie der analytischen Abbildungen, die durch analytische Funktionen von zwei Veränderlichen vermittelt werden Abh. Math. Sem.\ Univ. Hamburg 6 (1928), 96-145
• [6] S. Dineen, The Schwarz Lemma Clarendon Press, Oxford, 1989.
• [7] J. E. Fornaess and B. Stensοness, Lectures on Counterexamples in Several Complex Variables Princeton Univ. Press, Princeton, 1987.
• [8] M. Jarnicki and P. Pflug, Invariant pseudodistances and pseudometrics--Completeness and product property Ann. Polon. Math. 55 (1991), 169-189
• [9] M. Klimek, Extremal plurisubharmonic functions and invariant pseudodistances Bull. Soc. Math. France 113 (1985), 231-240
• [10] M. Klimek, Infinitesimal pseudo-metrics and the Schwarz lemma Proc. Amer. Math. Soc. 105 (1989), 134-140
• [11] M. Klimek, Pluripotential Theory Clarendon Press, Oxford, 1991.
• [12] S. Kobayashi, Hyperbolic Manifolds and Holomorphic Mappings Marcel Dekker, New York, 1970.
• [13] S. Kobayashi, Intrinsic distances, measures and geometric function theory Bull. Amer. Math. Soc. 82 (1976), 357-416
• [14] L. Lempert, La métrique de Kobayashi et la représentation des domaines sur la boule Bull. Soc. Math. France 109 (1981), 427-474
• [15] E. A. Poletskiĭ and B. V. Shabat, Invariant metrics in: Encyclopedia of Mathematical Sciences 9, G. M. Khenkin (ed.), 1989, 63-111
• [16] H. L. Royden, Remarks on the Kobayashi metric in: Lecture Notes in Math. 185, Springer, Berlin, 1971, 125-137
• [17] R. R. Simha, The Carathéodory metric of the annulus Proc. Amer. Math. Soc. 50 (1975), 162-166