Minda, Carl David Square integrable differentials on Riemann surfaces and quasiconformal mappings. (English) Zbl 0265.30021 Trans. Am. Math. Soc. 195, 365-381 (1974). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 Documents MSC: 30F30 Differentials on Riemann surfaces 30F20 Classification theory of Riemann surfaces 30C62 Quasiconformal mappings in the complex plane PDFBibTeX XMLCite \textit{C. D. Minda}, Trans. Am. Math. Soc. 195, 365--381 (1974; Zbl 0265.30021) Full Text: DOI References: [1] Robert D. M. Accola, The bilinear relation on open Riemann surfaces, Trans. Amer. Math. Soc. 96 (1960), 143 – 161. · Zbl 0118.30003 [2] Robert D. M. Accola, Differentials and extremal length on Riemann surfaces, Proc. Nat. Acad. Sci. U.S.A. 46 (1960), 540 – 543. · Zbl 0093.07801 [3] Lars V. Ahlfors and Leo Sario, Riemann surfaces, Princeton Mathematical Series, No. 26, Princeton University Press, Princeton, N.J., 1960. · Zbl 0196.33801 [4] Irwin Kra, Automorphic forms and Kleinian groups, W. A. Benjamin, Inc., Reading, Mass., 1972. Mathematics Lecture Note Series. · Zbl 0253.30015 [5] O. Lehto and K. I. Virtanen, Quasikonforme Abbildungen, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Band, Springer-Verlag, Berlin-New York, 1965 (German). · Zbl 0138.30301 [6] Albert Marden, The weakly reproducing differentials on open Riemann surfaces, Ann. Acad. Sci. Fenn. Ser. A I No. 359 (1965), 32. · Zbl 0163.09402 [7] Mitsuru Nakai, On a ring isomorphism induced by quasiconformal mappings, Nagoya Math. J. 14 (1959), 201 – 221. · Zbl 0096.06002 [8] Mitsuru Nakai, A function algebra on Riemann surfaces, Nagoya Math. J. 15 (1959), 1 – 7. · Zbl 0090.29202 [9] Mitsuru Nakai, Purely algebraic characterization of quasiconformality, Proc. Japan Acad. 35 (1959), 440 – 443. · Zbl 0102.29802 [10] -, On a problem of Roy den on quasiconformal equivalence of Riemann surfaces, Proc. Japan Acad. 36 (1960), 33-37. MR 22 #2691. [11] Mitsuru Nakai, Algebraic criterion on quasiconformal equivalence of Riemann surfaces., Nagoya Math. J 16 (1960), 157 – 184. · Zbl 0096.06101 [12] Albert Pfluger, Theorie der Riemannschen Flächen, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1957 (German). · Zbl 0077.07803 [13] Richard Rochberg, Almost isometries of Banach spaces and moduli of planar domains, Pacific J. Math. 49 (1973), 455 – 466. · Zbl 0275.46021 [14] Richard Rochberg, Almost isometries of Banach spaces and moduli of Riemann surfaces, Duke Math. J. 40 (1973), 41 – 52. · Zbl 0261.46059 [15] Burton Rodin and Leo Sario, Principal functions, In collaboration with Mitsuru Nakai, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1968. · Zbl 0159.10701 [16] H. L. Royden, On a class of null-bounded Riemann surfaces, Comment. Math. Helv. 34 (1960), 52 – 66. · Zbl 0113.05702 [17] L. Sario and M. Nakai, Classification theory of Riemann surfaces, Die Grundlehren der mathematischen Wissenschaften, Band 164, Springer-Verlag, New York-Berlin, 1970. · Zbl 0199.40603 [18] Jussi Väisälä, Lectures on \?-dimensional quasiconformal mappings, Lecture Notes in Mathematics, Vol. 229, Springer-Verlag, Berlin-New York, 1971. · Zbl 0221.30031 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.