|
|
|
|
References
|
|
| |
| 1. |
O. D. Kellogg, “Harmonic functions and Green's integral”, Trans. Amer. Math. Soc., 13:1 (1912), 109–132    |
| 2. |
S. E. Warschawski, “On the higher derivatives at the boundary in conformal mapping”, Trans. Amer. Math. Soc., 38, no. 2, 1935, 310–340  |
| 3. |
S. E. Warschawski, “On differentiability at the boundary in conformal mapping”, Proc. Amer. Math. Soc., 12:4 (1961), 614–620 |
| 4. |
E. P. Dolzhenko, “Some remarks on the modulus of continuity of a conformal mapping of the disk onto a Jordan domain”, Math. Notes, 60:2 (1996), 130–136  |
| 5. |
E. P. Dolzhenko, “On conformal mappings of Jordan domains”, Moscow Univ. Math. Bull., 54:4 (1999), 47–49 |
| 6. |
E. P. Dolzhenko, “On modules of continuity of conformal mappings of arbitrary Jordan domains”, J. Math. Sci. (New York), 108:3 (2002), 411–419 |
| 7. |
E. P. Dolzhenko, “O stepeni “gladkosti” konformnykh otobrazhenii zhordanovykh oblastei s negladkimi granitsami, Kompleksnyi analiz i teoriya potentsiala”, Trudy Ukrainskogo matem. kongressa 2001 (Kiev, Ukraina, 2001), In-t matem. NAN Ukrainy, Kiev, 2003, 25–33 |
| 8. |
E. P. Dolzhenko, “On the boundary smoothness of conformal mappings between domains with nonsmooth boundaries”, Dokl. Math., 76:1 (2007), 514–518 |
| 9. |
G. M. Goluzin, Geometric theory of functions of a complex variable, Transl. Math. Monogr., 26, Amer. Math. Soc., Providence, RI, 1969 |
| 10. |
M. A. Lavrentev, “O nepreryvnosti odnolistnykh funktsii v zamknutykh oblastyakh”, Dokl. AN SSSR, 4:5 (1936), 207–209 |
| 11. |
G. D. Suvorov, Obobschennyi “printsip dliny i ploschadi” v teorii otobrazhenii, Naukova dumka, Kiev, 1985 |
| 12. |
P. M. Tamrazov, “Contour and solid structure properties of holomorphic functions of a complex variable”, Russian Math. Surveys, 28:1 (1973), 141–173 |
| 13. |
W. Blaschke, Kreis und Kugel, de Gruyter, Berlin, 1956 |
| 14. |
P. Uryson, “Zavisimost mezhdu srednei shirinoi i ob'emom vypuklykh tel v $n$-mernom prostranstve”, Matem. sb., 31:3–4 (1924), 477–486 |
| 15. |
S. Saks, Theory of the integral, Dover Publ., New York, 1937 |
| 16. |
I. I. Privalov, Granichnye svoistva analiticheskikh funktsii, GITTL, M.–L., 1950 |
| 17. |
E. P. Dolzhenko, “Gladkost garmonicheskikh i analiticheskikh funktsii v granichnykh tochkakh oblasti”, Izv. AN SSSR. Ser. matem., 29:5 (1965), 1069–1084 |
| 18. |
E. P. Dolzhenko, S. V. Kolesnikov, “The behavior of conformal maps of domains near convex boundary arcs”, Math. Notes, 90:4 (2011), 485–497 |
