On Dirichlet type spaces on the unit ball of Cn

Małgorzata Michalska

Abstract


In this paper we discuss characterizations of Dirichlet type spaces on the unit ball of Cn obtained by P. Hu and W. Zhang [2], and S. Li [4].

Keywords


Dirichlet type spaces; holomorphic functions

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References


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 (mathbb{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.




DOI: http://dx.doi.org/10.2478/v10062-011-0015-4
Date of publication: 2016-07-27 21:54:09
Date of submission: 2016-07-26 21:27:06


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