Geodesic
Isometries of Privalov spaces of holomorphic functions of several variables
Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 25 (2006) no. 25, pp. 295-309 Cet article a éte moissonné depuis la source Math-Net.Ru

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A. V. Subbotin. Isometries of Privalov spaces of holomorphic functions of several variables. Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 25 (2006) no. 25, pp. 295-309. http://geodesic.mathdoc.fr/item/TSP_2006_25_25_a11/

[1] Rudin U., Teoriya funktsii v edinichnom share iz $\mathbb{C}^n$, Mir, M., 1984 | MR | Zbl

[2] Rudin U., Teoriya funktsii v polikruge, Mir, M., 1974 | MR | Zbl

[3] Subbotin A. V., “Funktsionalnye svoistva prostranstv Privalova golomorfnykh funktsii neskolkikh peremennykh”, Mat. zametki, 65:2 (1999), 280–288 | DOI | MR | Zbl

[4] Zigmund A., Trigonometricheskie ryady, 2 M., Mir, 1965 | MR

[5] Stephenson K., “Isometries of the Nevanlinna class”, Indiana Univ. Math. J., 26:2 (1977), 307–324 | DOI | MR | Zbl

[6] Privalov I. I., Granichnye svoistva analiticheskikh funktsii, GITTL, M.; L., 1950

[7] Kim H. O., Park Y. Y., “Maximal functions of plurisubharmonic functions”, Tsukuba J. Math., 16:1 (1992), 11–18 | MR | Zbl

[8] Choe B. R., Kim H. O., “On the boundary behavior of functions holomorphic on the ball”, Complex Variables Theory Appl., 20 (1992), 53–61 | DOI | MR | Zbl

[9] Gavrilov B. I., Subbotin A. V., “$F$-algebry golomorfnykh funktsii v share, soderzhaschie klass Nevanlinny”, Math. Montisnigri, XII (2000), 17–31 | MR | Zbl

[10] Iida Y., Mochizuki N., “Isometries of some $F$-algebras of holomorphic functions”, Arch. Math., 71 (1998), 297–300 | DOI | MR | Zbl

[11] Subbotin A. V., “Gruppy lineinykh izometrii prostranstv I. I. Privalova golomorfnykh funktsii neskolkikh peremennykh”, Dokl. RAN, 367:4 (1999), 451–453 | MR | Zbl

[12] Rudin W., “$L^p$-isometries and equimeasurability”, Indiana Univ. Math. J., 25:3 (1976), 215–228 | DOI | MR | Zbl

[13] Forelli F., “The isometries of $H^p$”, Can. J. Math., 16:4 (1964), 721–728 | DOI | MR | Zbl

[14] Ahern P., Shneider R. B., “Isometries of $H^\infty$”, Duke Math. J., 42:2 (1975), 321–326 | DOI | MR | Zbl

[15] Shvarts L., Analiz, v. 1, Mir, M., 1972