Capacities and Bergman kernels for Riemann surfaces and Fuchsian groups

Christian POMMERENKE; Nobuyuki SUITA

doi:10.2969/jmsj/03640637

Christian POMMERENKE, Nobuyuki SUITA

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JOURNAL FREE ACCESS

1984 Volume 36 Issue 4 Pages 637-642

DOI https://doi.org/10.2969/jmsj/03640637

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Published: 1984 Received: October 31, 1983 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : Dedicated to Professor Yûsaku Komatu on his 70th birthday

Date of correction: October 20, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Fachbereich Mathematik MA 8-2 Technische Universität Berlin
2) Department of Mathematics Tokyo Institute of Technology

Right :
1) Fachbereich Mathematik Technische Universität Berlin
2) Department of Mathematics Tokyo Institute of Technology

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) L. V. Ahlfors and L. Sario, Riemann surfaces, Princeton Univ. Press, 1960.
2) T. A. Metzger and K. V. Rajeswara Rao, Approximation of Fuchsian groups and automorphic forms of dimension -2, Indiana Univ. Math. J., 21 (1972), 937-949.
3) Ch. Pommerenke, On the theta-operator for automorphic forms of weight 1, Indiana Univ. Math. J., 25 (1976), 595-607.
4) Ch. Pommerenke, On Fuchsian groups of divergence type, Michigan Math. J., 28 (1981), 297-310.
5) Ch. Pommerenke, On uniformly perfect sets and Fuchsian groups, Analysis, to appear.
6) K. V. Rajeswara Rao, Fuchsian groups of convergence type and Poincaré series of dimension -2, J. Math. Mech. (Indiana), 18 (1969), 629-644.
7) L. Sario and K. Oikawa, Capacity functions, Springer-Verlag, Berlin-Heidelberg-New York, 1969.
8) N. Suita, Capacities and Kernels on Riemann surfaces, Arch. Rational Mech. Anal., 46 (1972), 212-217.
9) M. Tsuji, Potential theory in modern function theory, Maruzen Co., Tokyo, 1959.

Right : [1] L. V. Ahlfors and L. Sario, Riemann surfaces, Princeton Univ. Press, 1960.
[2] T. A. Metzger and K. V. Rajeswara Rao, Approximation of Fuchsian groups and automorphic forms of dimension -2, Indiana Univ. Math. J., 21 (1972), 937-949.
[3] Ch. Pommerenke, On the theta-operator for automorphic forms of weight 1, Indiana Univ. Math. J., 25 (1976), 595-607.
[4] Ch. Pommerenke, On Fuchsian groups of divergence type, Michigan Math. J., 28 (1981), 297-310.
[5] Ch. Pommerenke, On uniformly perfect sets and Fuchsian groups, Analysis, to appear.
[6] K. V. Rajeswara Rao, Fuchsian groups of convergence type and Poincaré series of dimension -2, J. Math. Mech. (Indiana), 18 (1969), 629-644.
[7] L. Sario and K. Oikawa, Capacity functions, Springer-Verlag, Berlin-Heidelberg-New York, 1969.
[8] N. Suita, Capacities and Kernels on Riemann surfaces, Arch. Rational Mech. Anal., 46 (1972), 212-217.
[9] M. Tsuji, Potential theory in modern function theory, Maruzen Co., Tokyo, 1959.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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