## A. V. Harutyunyan, W. Lusky

*Holomorphic Bloch spaces on the unit ball in $C^n$*

Comment.Math.Univ.Carolin. 50,4 (2009) 549-562.**Abstract:**This work is an introduction to anisotropic spaces of holomorphic functions, which have $\omega $-weight and are generalizations of Bloch spaces on a unit ball. We describe the holomorphic Bloch space in terms of the corresponding $L_\omega ^\infty $ space. We establish a description of $(A^p(\omega ))^*$ via the Bloch classes for all $0

**Keywords:** weighted Bloch spaces, projection, inverse mapping, dual space

**AMS Subject Classification:** 32A18 46E15

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