On Dirichlet type spaces on the unit ball of $\mathbb{C}^n$

ArticleOriginal scientific text

Title

Authors

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].

Dirichlet type spaces, holomorphic functions

Arazy, J., Fisher, S. D. and Peetre, J., Hankel operators on planar domains, Constr. Approx. 6 (1990), no. 2, 113-138.
Hu, P., Zhang, W., A new characterization of Dirichlet type spaces on the unit ball of $C^{n}$ , J. Math. Anal. Appl. 259 (2001), no. 2, 453-461.
Hu, P. Y., Shi, J. H., Multipliers on Dirichlet type spaces, Acta Math. Sin. (Engl. Ser.) 17 (2001), no. 2, 263-272.
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.
Rochberg, R., Wu, Z. J., A new characterization of Dirichlet type spaces and applications, Illinois J. Math. 37 (1993), no. 1, 101-122.
Rudin, W., Function Theory in the Unit Ball of Cn, Springer-Verlag, New York-Berlin, 1980.
Zhu, K., Spaces of Holomorphic Functions in the Unit Ball, Springer-Verlag, New York, 2005.