×

Verzerrungssätze und Koeffizientenbedingungen vom Grunskyschen Typ für quasikonforme Abbildungen. (Distortion theorems and Grunsky coefficient conditions for quasi-conformal maps). (German) Zbl 0226.30021


MSC:

30C62 Quasiconformal mappings in the complex plane
30C50 Coefficient problems for univalent and multivalent functions of one complex variable
30B10 Power series (including lacunary series) in one complex variable
Full Text: DOI

References:

[1] Aleksandrov, Trudy Tomsk. Gos. Univ. Ser. Mech.-Math. 175 pp 39– (1964)
[2] Belinskii, Sibirsk. Math. J. 1 pp 303– (1960)
[3] Einführung in die konforme Abbildung. 6. Aufl., Berlin 1967.
[4] Duren, Proc. Amer. Math. Soc. 13 pp 168– (1962)
[5] Garabedian, Trans. Amer. Math. Soc. 65 pp 187– (1949)
[6] Garabedian, Arch. Rat. Mech. Analysis 26 pp 1– (1967)
[7] Golusin, Mat. Sbornik 21 pp 83– (1947)
[8] a) Geometrische Funktionentheorie, Berlin 1957 [Übersetzung aus dem Russ.];
[9] (b) 2. russ. Aufl. Hiervon, Moskau 1966.
[10] Grötzsch, Leipz. Ber. 83 pp 283– (1931)
[11] Grunsky, Math. Z. 45 pp 20– (1939)
[12] Kraus, Mitt. math. Semin. Gießen 21 pp 1– (1932)
[13] KrušKal’, Dokl. Akad. Nauk SSSR 182 pp 754– (1968)
[14] Soviet Math. Dokl. 9 pp 1191– (1968)
[15] Kühnau, Wiss. Z. d. Martin-Luther-Univ. Halle-Wittenberg. Math.-Nat. Reihe 13 pp 35– (1964)
[16] Kühnau, Math. Z. 94 pp 178– (1966)
[17] Math. Z. 107 pp 307– (1968)
[18] Kühnau, J. reine angew. Math. 228 pp 93– (1967)
[19] Diese Nachr. 36 pp 61– (1968)
[20] Kühnau, Diese Nachr. 40 pp 1– (1969)
[21] Kühnau, Diese Nachr. 45 pp 307– (1970)
[22] Li-Chuan, Acta math. Sinica 7 pp 313– (1957)
[23] Milin, Trudy Mat. Inst. Steklov. 94 pp 90– (1968)
[24] Nehari, Trans. Amer. Math. Soc. 75 pp 256– (1953)
[25] Pederson, Arch. Rat. Mech. Analysis 29 pp 370– (1968)
[26] Pommerenke, Math. Z. 85 pp 197– (1964)
[27] Duke Math. J. 35 pp 321– (1968)
[28] Tao-Shing, Acad. Sinica Science Record 4 pp 209– (1951)
[29] Slobodeckii, Dokl. Akad. Nauk SSSR 92 pp 235– (1953)
[30] Schiffer, Duke Math. I. 33 pp 395– (1966)
[31] Ladegast, Math. Z. 58 pp 115– (1953)
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.