Geodesic
On Dirichlet type spaces on the unit ball of \(\mathbb{C}^n\)
Annales Universitatis Mariae Curie-Skłodowska. Mathematica, Tome 65 (2011) no. 2

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In this paper we discuss characterizations of Dirichlet type spaces on the unit ball of ℂ^n obtained by P. Hu and W. Zhang [2], and S. Li [4].
Keywords: Dirichlet type spaces, holomorphic functions 
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Michalska, Małgorzata. On Dirichlet type spaces on the unit ball of \(\mathbb{C}^n\). Annales Universitatis Mariae Curie-Skłodowska. Mathematica, Tome 65 (2011) no. 2. http://geodesic.mathdoc.fr/item/AUM_2011_65_2_a11/

[1] Arazy, J., Fisher, S. D. and Peetre, J., Hankel operators on planar domains, Constr. Approx. 6 (1990), no. 2, 113-138.

[2] Hu, P., Zhang, W., A new characterization of Dirichlet type spaces on the unit ball of \(\mathbb{C}^n\), J. Math. Anal. Appl. 259 (2001), no. 2, 453-461.

[3] Hu, P. Y., Shi, J. H., Multipliers on Dirichlet type spaces, Acta Math. Sin. (Engl. Ser.) 17 (2001), no. 2, 263-272.

[4] Li, S., Some new characterizations of Dirichlet type spaces on the unit ball of Cn, J. Math. Anal. Appl. 324 (2006), no. 2, 1073-1083.

[5] Rochberg, R., Wu, Z. J., A new characterization of Dirichlet type spaces and applications, Illinois J. Math. 37 (1993), no. 1, 101-122.

[6] Rudin, W., Function Theory in the Unit Ball of Cn, Springer-Verlag, New York-Berlin, 1980.

[7] Zhu, K., Spaces of Holomorphic Functions in the Unit Ball, Springer-Verlag, New York, 2005.