This is a preview of subscription content, log in via an institution to check access.
Literature Cited
F. P. Gardiner, “Approximation of infinite dimensional Teichmüller spaces,” Trans. Am. Math. Soc.,282, No. 1, 367–383 (1984).
S. L. Krushkal', “On an interpolating family of a univalent analytic function,” Sib. Mat. Zh.,28, No. 5, 88–94 (1987).
V. V. Savin, “On moduli of Riemann surfaces,” Dokl. Akad. Nauk SSSR,196, No. 4, 783–785 (1971).
T. H. MacGregor and D. E. Tepper, “Finite boundary interpolation by univalent functions,” J. Approxim. Theory,52, No. 3, 315–321 (1988).
J. G. Clunie, D. J. Hallenbeck, and T. H. MacGregor, “A peaking and interpolation problem for univalent functions,” J. Math. Anal. Appl.,111, 559–570 (1985).
S. L. Krushkal', Quasiconformal Mappings and Riemann Surfaces [in Russian], Nauka, Novosibirsk (1975).
S. L. Krushkal', and R. Kyunau, Quasiconformal Mappings: New Methods and Applications [in Russian], Nauka, Novosibirsk (1984).
A. N. Vagin, “A certain class of spaces of quasiconformal mappings of the plane,” Sib. Mat. Zh.,27, No. 5, 13–23 (1986).
P. G. Zograf and L. A. Takhtadzhyan, “On Liouville's equation, accessory parameters, and the geometry of Teichmüller spaces, 1. Riemann surfaces of genus 0,” Preprint LOMI P-11-85, Leningrad (1985).
Sh. I. Kaliman, “A holomorphic universal covering of a space of polynomials without multiple roots,” Funkts, Anal. Prilozhen.,9, No. 1, 71 (1975).
G. M. Goluzin, Geometric Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1966).
T. Nakanishi, “A theorem on the outradii of Teichmüller spaces,” J. Math. Soc. Jpn.,40, No. 1, 1–8 (1988).
T. Chu, “On the outradius of finite-dimensional Teichmüller spaces,” in: Discontinuous Groups and Riemann Surfaces, Ann. of Math. Stud.,79, Princeton Univ. Press, Princeton (1974), pp. 75–79.
H. Sekigawa, “The outradius of the Teichmüller space,” Tôhoku Math. J.,30, No. 4, 607–612 (1978).
H. Sekigawa and H. Yamamoto, “Outradii of Teichmüller spaces of Fuchsian groups of second kind,” Tôhoku Math. J.,38, No. 3, 365–370 (1986).
L. Bers and I. Kra (eds.), A Crash Course on Kleinian Groups, Lect. Notes Math., No. 400, Springer-Verlag, Berlin (1974).
V. D. Golovan', “The inradius of some Teichmüller spaces” (theses of a report), in: Topical Problems of Complex Analysis [in Russian], All-Union Seminar of Young Scientists, Tashkent (1985), pp. 29–30.
F. W. Gehring and Ch. Pommerenke, “On the Nehari univalence criterion and quasicircles,” Commen. Math. Helvetici, Basel,59, No. 2, 226–242 (1984).
Additional information
Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 1, pp. 96–103, January–February, 1990.
Rights and permissions
About this article
Cite this article
Krushkal', S.L., Golovan', V.D. Approximation of analytic functions and Teichmüller spaces. Sib Math J 31, 82–88 (1990). https://doi.org/10.1007/BF00971152
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00971152