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References
Earle, C. J. and Marden, A., On Poincare series with application to H p spaces on bordered Riemann surfaces, Illinois J. Math. 13 (1969), 202–219.
Fisher, S., “Function Theory on Planar Domains,” John Wiley & Sons, New York-Chichester-Brisbane-Tronto-Singapore, 1983.
Fefferman, C. and Stein, E. M., H p spaces of several variables, Acts Math. 129 (1972), 137–193.
Garnett, J, “Bounded Analytic Functions,” Academic Press, New York, 1981.
Gehring, F. W., “Characteristic properties of quasidisks,” Séminaire de Mathématiques Supérieures, Les Presses de l'Université de Montréal, 1982.
Gotoh, Y., On BMO spaces on Riemann surfaces (in Japanese), Master thesis at Kyoto University (1985).
Heins, M, “Hardy classes on Riemann surfaces.,” Lecture Notes in Math. No 98, Springer, Berlin, 1969.
Metzger, T. A., Bounded mean oscillation and Riemann surfaces, in “Bounded Mean Oscillation in Complex Analysis,” University of Joensuu Publications in Science vol. 14, 1989, pp. 79–100.
Reimann H. M. and Rychener, T., “Functionen beschränkter mittelerer Oszillation,” Lecture Notes in Math. 487, Springer-Verlag, Berlin-Heidelberg-New York, 1975.
Sario, L. and Rodin, B., “Principal Functions,” Van Nostrand Co., Inc., Princeton, N. J., 1968.
Sario, L. and Oikawa, K., “Capacity Functions,” Springer, Berlin, 1969.
Shiga, H., On the boundary of H p classes (in Japanese), RIMS Kōkyuroku 366 (1979), 30–47.
Shiga, H., On the boundary values of analytic functions on bordered Riemann surfaces, Acta Human. Sci. Univ. Sangyo Kyotien. Natur. Sci. Ser. 9 (1980), 11–28.
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Dedicated to Professor Tatsuo Fuji'i'e on his 60th birthday
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© 1991 Springer-Verlag
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Shiga, H. (1991). Hardy spaces and BMO on Riemann surfaces. In: Noguchi, J., Ohsawa, T. (eds) Prospects in Complex Geometry. Lecture Notes in Mathematics, vol 1468. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086188
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DOI: https://doi.org/10.1007/BFb0086188
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