Pluripolarity of the Graphs of Gonchar Quasi-Analytic Functions
Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 637-640.

Voir la notice de l'article provenant de la source Math-Net.Ru

Mots-clés : pluripolar set
Keywords: plurisubharmonic function, rational function, quasi-analytic function, logarithmic capacity, Green function.
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S. A. Imomkulov; Z. Sh. Ibragimov. Pluripolarity of the Graphs of Gonchar Quasi-Analytic Functions. Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 637-640. http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a15/

[1] A. A. Gonchar, Dokl. AN SSSR, 100:2 (1955), 205–208 | MR | Zbl

[2] A. A. Gonchar, Izv. AN ArmSSR. Matem., 6:2-3 (1971), 148–159 | MR | Zbl

[3] A. F. Timan, Theory of Approximation of Functions of a Real Variable, Internat. Ser. Monogr. Pure Appl. Math., 34, Pergamon Press, New York, 1963 | MR | Zbl

[4] K. Diederich, J. E. Fornass, Duke Math. J., 49:4 (1982), 931–936 | DOI | MR | Zbl

[5] D. Coman, N. Levenberg, E. A. Poletsky, J. Amer. Math. Soc., 18:2 (2005), 239–252 | DOI | MR | Zbl

[6] A. Sadullaev, Kompleksnyi analiz – mnogie peremennye – 2, Itogi nauki i tekhn. Ser. Sovrem. probl. mat. Fundam. napravleniya, 8, VINITI, M., 1985, 65–113 | MR | Zbl

[7] A. S. Sadullaev, Matem. sb., 119:1 (1982), 96–118 | MR | Zbl

[8] N. Shcherbina, Acta Math., 194:2 (2005), 203–216 | DOI | MR | Zbl

[9] N. Levenberg, G. Martin, E. A. Poletskiy, Indiana Univ. Math. J., 41:2 (1992), 515–532 | DOI | MR | Zbl

[10] A. S. Sadullaev, UMN, 36:4 (1981), 53–105 | MR | Zbl