Geodesic
On some properties of partial sums of the Taylor series for the analytical functions in the circle
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 4, pp. 1225-1233 
R. F. Shamoyan. On some properties of partial sums of the Taylor series for the analytical functions in the circle. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 4, pp. 1225-1233. http://geodesic.mathdoc.fr/item/FPM_2002_8_4_a18/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We give a complete characterization of the functions belonging to some classes of holomorphic functions in the circle, in terms of modules of Cesaro mean values.

[1] Gofman K., Banakhovy prostranstva analiticheskikh funktsii, Mir, M., 1963

[2] Bennett G., Stegenga D., Timoney R., “Coefficients of Bloch and Lipschitz functions”, Ilin. Math. J., 25:3 (1981) | MR

[3] Djrbashian A., Shamoian F. A., Topics in the theory of $A_{\alpha}^p$ spaces, Teubner Texte zur Math., 105, BSB B. G. Teubner Verlagsgesellschaft, Leipzig, 1988 | MR | Zbl

[4] Kehe Zhu, “Duality of Bloch spaces and norm convergence of Taylor series”, Mich. Math. J., 38 (1991), 89–101 | DOI | MR | Zbl

[5] Hedenmalm H., Korenblum B., Kehe Zhu, Theory of the Bergman spaces, Springer, 2000 | MR | Zbl

[6] Kislyakov S. V., “Klassicheskaya problematika analiza Fure”, Itogi nauki i tekhn. Ser. Sovrem. probl. mat. Fundam. napravleniya, 15, VINITI, M., 1987, 134–195 | MR

[7] Shamoyan R. F., “O predstavlenii lineinykh nepreryvnykh funktsionalov v odnom prostranstve golomorfnykh v kruge funktsii”, Mat., fiz., analiz, geometriya, 1999, no. 3/4, 361–371 | MR | Zbl

[8] Shamoyan R. F., “O multiplikatorakh iz prostranstv tipa Bergmana v prostranstva Khardi v polikruge”, U. M. Zhur., 2000, no. 10, 1405–1415 | MR

[9] Buckley S. M., Koskela P. and Vicotiĉ D., “Fractional integration and weighted Bergman spaces”, Proc. Camb. Society, 1999, 145–160 | MR

[10] Yevtiĉ M., Pavlovič M., “Coefficient multipliers on spaces pf analytic functions”, Acta Sci. Math., 64 (1998), 531–545 | MR

[11] Mateljevič M., Pavlovič M., “Multipliers of $H^p$ and BMOA”, Pacif. J. Math., 146 (1990), 71–89 | MR