Geodesic
On the convergence of Bieberbach polynomials in the case of a Lipschitz domain
Izvestiya. Mathematics, Tome 13 (1979) no. 1, pp. 166-174 
I. B. Simonenko. On the convergence of Bieberbach polynomials in the case of a Lipschitz domain. Izvestiya. Mathematics, Tome 13 (1979) no. 1, pp. 166-174. http://geodesic.mathdoc.fr/item/IM2_1979_13_1_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Uniform convergence of the Bieberbach polynomials is proved in the case of a simply connected region bounded by a Lipschitz Jordan curve. Bibliography: 11 titles.

[1] Goluzin G. M., Geometricheskaya teoriya funktsii kompleksnogo peremennogo, Gostekhizdat, M., L., 1952 | MR

[2] Keldysh M. V., “Sur l'approximation en moyenne quadratique des functions analytiques”, Matem. sb., 5(47):2 (1939), 391–401

[3] Mergelyan S. N., Nekotorye voprosy konstruktivnoi teorii funktsii, Tr. Matem. in-ta im. V. A. Steklova AN SSSR, 37, 1951 | MR | Zbl

[4] Wu Xue-mon, “On Bieberbach polynomials”, Acta Math. Sinica, 13:2 (1963), 145–151 | MR

[5] Suetin P. K., Mnogochleny, ortogonalnye po ploschadi, i mnogochleny Biberbakha, Tr. Matem. in-ta im. V. A. Steklova AN SSSR, 1971 | MR | Zbl

[6] Simonenko I. B., “Kraevaya zadacha Rimana dlya $n$ par funktsii s izmerimymi koeffitsientami i ee primenenie k issledovaniyu singulyarnykh integralov v prostranstvakh $L_p$ s vesami”, Izv. AN SSSR. Ser. matem., 28 (1964), 277–306 | MR | Zbl

[7] Smirnov V. I., “Über die Randerzuordnung bei konformer Abbildung”, Math. Ann., 107 (1932), 313–323 | DOI | MR | Zbl

[8] Zigmund A., Trigonometricheskie ryady, t. I, Mir, M., 1965 | MR

[9] Mikhlin S. G., Mnogomernye singulyarnye integraly i integralnye uravneniya, Fizmatgiz, M., 1962 | MR | Zbl

[10] Sobolev S. L., Nekotorye primeneniya funktsionalnogo analiza v matematicheskoi fizike, Leningradskii universitet, 1950 | MR | Zbl

[11] Natanson I. P., Konstruktivnaya teoriya funktsii, Gostekhizdat, M., L., 1949