Some boundary properties of the Riemann mapping function
HTML articles powered by AMS MathViewer
- by Maynard G. Arsove PDF
- Proc. Amer. Math. Soc. 19 (1968), 560-568 Request permission
Correction: Proc. Amer. Math. Soc. 22 (1969), 711-712.
References
- Maynard G. Arsove, The Osgood-Taylor-Carathéodory theorem, Proc. Amer. Math. Soc. 19 (1968), 38–44. MR 220914, DOI 10.1090/S0002-9939-1968-0220914-7
- Maynard G. Arsove, Intrinsic characterization of regions bounded by closed curves, Duke Math. J. 34 (1967), 425–429. MR 217276
- Maynard G. Arsove and Guy Johnson Jr., A conformal mapping technique for infinitely connected regions, Memoirs of the American Mathematical Society, No. 91, American Mathematical Society, Providence, R.I., 1970. MR 0262538
- E. F. Beckenbach, The stronger form of Cauchy’s integral theorem, Bull. Amer. Math. Soc. 49 (1943), 615–618. MR 8624, DOI 10.1090/S0002-9904-1943-07992-X
- A. S. Besicovitch, On the existence of tangents to rectifiable curves, J. London Math. Soc. 19 (1944), 205–207. MR 14413, DOI 10.1112/jlms/19.76_{P}art_{4}.205
- R. Courant and D. Hilbert, Methods of mathematical physics. Vol. I, Interscience Publishers, Inc., New York, N.Y., 1953. MR 0065391
- Nelson Dunford and Jacob T. Schwartz, Linear operators. Part I, Wiley Classics Library, John Wiley & Sons, Inc., New York, 1988. General theory; With the assistance of William G. Bade and Robert G. Bartle; Reprint of the 1958 original; A Wiley-Interscience Publication. MR 1009162
- G. M. Golusin, Geometrische Funktionentheorie, Hochschulbücher für Mathematik, Band 31, VEB Deutscher Verlag der Wissenschaften, Berlin, 1957 (German). MR 0089896
- Lawrence M. Graves, The theory of functions of real variables, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1956. 2d ed. MR 0075256
- I. I. Priwalow, Randeigenschaften analytischer Funktionen, Hochschulbücher für Mathematik, Band 25, VEB Deutscher Verlag der Wissenschaften, Berlin, 1956 (German). Zweite, unter Redaktion von A. I. Markuschewitsch überarbeitete und ergänzte Auflage. MR 0083565 T. Radó, Subharmonic functions, Springer-Verlag, Berlin, 1937. M. Tsuji, On the Green’s function, Japan J. Math. 18 (1942), 379-383.
- M. Tsuji, Potential theory in modern function theory, Maruzen Co. Ltd., Tokyo, 1959. MR 0114894
- S. Verblunsky, On a fundamental formula of potential theory, J. London Math. Soc. 26 (1951), 25–30. MR 40491, DOI 10.1112/jlms/s1-26.1.25
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 560-568
- MSC: Primary 30.40
- DOI: https://doi.org/10.1090/S0002-9939-1968-0225982-4
- MathSciNet review: 0225982