Remarks on the boundary behavior of Bloch functions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2005), pp. 30-37.

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J. Godula; V. V. Starkov. Remarks on the boundary behavior of Bloch functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2005), pp. 30-37. http://geodesic.mathdoc.fr/item/IVM_2005_4_a3/

[1] Pommerenke Ch., “Linear-invariante Familien analytischer Funktionen, I”, Math. Ann., 155 (1964), 108–154 | DOI | MR | Zbl

[2] Starkov V.V., “O nekotorykh lineino-invariantnykh semeistvakh funktsii, imeyuschikh integralnoe predstavlenie”, Izv. vuzov. Matematika, 1983, no. 5, 82–85 | MR | Zbl

[3] Godulya Ya., Starkov V.V., “Lineino-invariantnye semeistva”, Tr. Petrozavodsk. un-ta. Matematika, 1998, no. 5, 3–96 | MR | Zbl

[4] Starkov V.V., Dimkov G.M., “Ob odnom lineino-invariantnom semeistve, obobschayuschem klass blizkikh k vypuklym funktsii”, Dokl. Bolgarskoi AN, 38:8 (1985), 967–968 | MR | Zbl

[5] Baernstein A., “Analytic function of bounded mean oscillation”, Aspects of contemporary complex analysis, Academic Press, New York, 1980, 3–36 | MR

[6] Garnett Dzh., Ogranichennye analiticheskie funktsii, Mir, M., 1964, 469 pp. | MR

[7] Campbell D.M., Cima J.A., Pfaltzgraff J.A., “Linear space and linear-invariant families of locally univalent functions”, Manuscripta Math., 4 (1971), 1–30 | DOI | MR | Zbl

[8] Godula J., Starkov V.V., “Applications of ideas of Möbius invariance to abtain equivalent definitions of Bloch functions”, Annales Univ. Mariae Curie-Skłodowska, Sect. A, 49 (1995), 41–58 | MR | Zbl

[9] Clunie J.G., MacGregor T.H., “Radial growth of the derivative of univalent functions”, Comment. Math. Helv., 59 (1984), 362–375 | DOI | MR | Zbl

[10] Makarov N.G., “On the distortion of boundary sets under conformal mappings”, Proc. London Math. Soc., 51:2 (1985), 369–384 | DOI | MR | Zbl

[11] Girela D., “On Bloch functions and gap series”, Publ. Mat., 35:2 (1991), 403–427 | MR | Zbl

[12] Pommerenke Ch., Boundary behaviour of conformal maps, Springer-Verlag, Berlin–Heidelberg–New York, 1992, 300 pp. | MR | Zbl

[13] Girela D., “Integral means and radial growth of Bloch functions”, Math. Z., 195 (1987), 37–50 | DOI | MR | Zbl

[14] Goluzin G.M., Geometricheskaya teoriya funktsii kompleksnogo peremennogo, Nauka, M., 1966, 628 pp. | MR

[15] Dimkov G.M., Starkov V.V., “Ob obobschenii pochti vypuklykh funktsii”, Pliska, 10 (1989), 62–76 | MR | Zbl

[16] Girela D., Gonzalez C., “Some results on mean Lipshitz spaces of analytic functions”, Rocky Mount. J. Math., 30 (2000), 901–922 | DOI | MR | Zbl

[17] Specht E.M., “Estimates on the mapping function and its derivatives in conformal mapping of nearly circular regions”, Trans. Amer. Math. Soc., 71 (1951), 183–196 | DOI | MR | Zbl

[18] Pommerenke Ch., “On Bloch functions”, J. London Math. Soc., 2:2 (1970), 241–267 | MR

[19] Kollingvud E., Lovater A., Teoriya predelnykh mnozhestv, Mir, M., 1971, 312 pp. | MR