On the extension in the Hardy classes and the Nevanlinna class
Bulletin de la Société Mathématique de France, Tome 112 (1984), pp. 469-480.
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     title = {On the extension in the {Hardy} classes and the {Nevanlinna} class},
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Hyvönen, Jaakko; Riihentaus, Juhani. On the extension in the Hardy classes and the Nevanlinna class. Bulletin de la Société Mathématique de France, Tome 112 (1984), pp. 469-480. doi : 10.24033/bsmf.2017. http://www.numdam.org/articles/10.24033/bsmf.2017/

[1] Abrahamsson (L.). - Meromorphic extension of holomomorphic functions with growth conditions, Bull. Soc. Math. Fr., Vol. 110, 1982, pp. 417-427. | Numdam | MR | Zbl

[2] Cegrell (U.). - Removable singularity sets for analytic functions having modulus with bounded Laplace mass, Proc. Amer. Math. Soc., Vol. 88, 1983, pp. 283-286. | MR | Zbl

[3] Cima (J.) and Graham (I.). - On the extension of holomorphic functions with growth conditions across analytic subvarieties, Michigan Math. J., Vol. 28, 1981, pp. 241-256. | MR | Zbl

[4] Federer (H.). - Geometric measure theory, Berlin, Springer, 1969. | MR | Zbl

[5] Harvey (R.) and Polking (J.). - Extending analytic objects, Comm. Pure Appl. Math., Vol. 28, 1975, pp. 701-727. | MR | Zbl

[6] Hayman (W.) and Kennedy (P.). - Subharmonic functions, I, London, Academic Press, 1976. | MR | Zbl

[7] Heins (M.). - Hardy classes on Riemann surfaces, Berlin, Springer, 1971.

[8] Hervé (M.). - Analytic and plurisubharmonic functions in finite and infinite dimensional spaces, Berlin, Springer, 1970.

[9] Järvi (P.). - Removable singularities for Hp-functions, Proc. Amer. Math. Soc., Vol. 86, 1982, pp. 596-598. | Zbl

[10] Lelong (P.). - Ensembles singuliers impropres des fonctions plurisousharmoniques, J. Math. Pures Appl., Vol. 36, 1957, pp. 263-303. | MR | Zbl

[11] Lelong (P.). - Plurisubharmonic functions and positive differential forms, New York, Gordon and Breach, 1969. | Zbl

[12] Mattila (P.). - An integral inequality for capacities, Math. Scand., Vol. 53, 1983, pp. 256-264. | MR | Zbl

[13] Parreau (M.). - Sur les moyennes des fonctions harmoniques et analytiques et la classification des surfaces de Riemann, Ann. Inst. Fourier, Grenoble, Vol. 3, 1951, pp. 103-197. | Numdam | MR | Zbl

[14] Riihentaus (J.). - An extension theorem for meromorphic functions of several variables, Ann. Acad. Sc. Fenn., Sér. A I, Vol. 4, 1978/1979, pp. 145-149. | MR | Zbl

[15] Riihentaus (J.). - On the extension of holomorphic functions with growth conditions, J. London Math. Soc., (2), Vol. 27, 1983, pp. 281-288. | MR | Zbl

[16] Riihentaus (J.). - On the extension of separately hyperharmonic functions and Hp-functions, Michigan Math J., Vol. 31, 1984, pp. 99-112. | MR | Zbl

[17] Ronkin (L.). - Introduction to the theory of entire functions of several variables, Providence: Amer. Math. Soc., 1974. | MR | Zbl

[18] Rudin (W.). - Function theory in the unit ball of Cn, New York, Springer, 1980. | MR | Zbl

[19] Sadullaev (A.). - Rational approximation and pluripolar sets (Russian), Mat. Sbornik, Vol. 119, 1982, pp. 96-118. | MR | Zbl

[20] Shiffman (B.). - On the removal of singularities of analytic sets, Michigan Math. J., Vol. 15, 1968, pp. 111-120. | MR | Zbl

[21] Stein (E.). - Boundary behavior of holomorphic functions of several complex variables, Princeton, Princeton University Press, 1972. | MR | Zbl

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