This is a preview of subscription content, log in via an institution to check access.
Literature Cited
O. V. Ivanov and G. D. Suvorov, Complete Lattices of Conformally Invariant Compactifications of a Region [in Russian], Naukova Dumka, Kiev (1982).
K. Hoffman, Banach Spaces of Analytic Functions, Prentice-Hall, Englewood Cliffs (1962).
K. Hoffman, “Boundary analytic functions and Gleason parts,” Ann. Math.,86, No. 1, 74–111 (1967).
L. Carleson, “Interpolation by bounded analytic functions and the corona problem,” Ann. Math.,76, No. 3, 542–559 (1962).
C. Constantinescu and A. Cornea, “Compactifications of harmonic spaces,” Nagoya Math.,25, No. 3, 1–57 (1965).
J. Hyvonnen, “On resolutive compactifications of harmonic spaces,” Ann. Acad. Sci. Fenn. Ser. A. I. Math. Dissertations, No. 8 (1976).
C. Megea, Compactifications des Espaces Harmonique, Springer-Verlag, Berlin (1971).
A. V. Arkhangel'skii and V. I. Ponomarev, Problems and Exercises in General Topology [in Russian], Nauka, Moscow (1974).
A. Kerr-Lawson, “A filter description of the homeomorphisms of H∞,” Can. J. Math.,17, No. 5, 734–757 (1965).
A. I. Gol'dshmidt and G. D. Suvorov, “Boundary sets of mappings and nonmetrizable bicompactifications of metric spaces,” Sib. Mat. Zh.,17, No. 1, 58–74 (1976).
Yu. V. Pomel'nikov and G. D. Suvorov, “New family of conformally invariant, metrizable, bicompact extensions of planar region,” Sib. Mat. Zh.,21, No. 3, 144–161 (1980).
O. V. Ivanov, Yu. V. Pomel'nikov, and G. D. Suvorov, “Complete lattices of conformally invariant bicompact extensions,” Sib. Mat. Zh.,22, No. 5, 66–77 (1981).
O. V. Ivanov, “Boundary properties of conformal mappings and compactifications of planar simply connected regions,” Sib. Mat. Zh.,23, No. 5, 100–114 (1982).
O. V. Ivanov, “Normal functions and natural extensions of planar region,” Dokl. Akad. Nauk SSSR,268, No. 1, 26–29 (1983).
N. Bourbaki, Topologie General, Hermann, Paris (1940).
P. S. Aleksandrov, Introduction to Theory of Sets and General Topology [in Russian], Nauka, Moscow (1977).
P. Lappan, “Some results on harmonic normal functions,” Math. Z.,90, No. 2, 155–159 (1965).
J. L. Kelley, General Topology, Van Nostrand, Princeton (1955).
L. Brown and P. M. Gauthier, “Behavior of normal meromorphic functions on the maximal ideal space of H∞,” Mich. Math. J.,18, No. 4, 317–325 (1971).
Additional information
Donetsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 27, No. 2, pp. 55–61, March–April, 1986.
Rights and permissions
About this article
Cite this article
Ivanov, O.V. Nonmetrizable conformally invariant compactifications of a planar region. Sib Math J 27, 187–192 (1986). https://doi.org/10.1007/BF00969385
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00969385