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

Małgorzata Michalska

Abstract


In this paper we discuss characterizations of Dirichlet type spaces on the unit ball of \(\mathbb{C}^n\) 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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