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Embedding theorems for holomorphic functions of several complex variables

Długosz R

Journal of Applied Analysis

2013

Vol. 19, nr 1

153--165

Many authors studied families XG of complex valued functions, which are holomorphic in bounded complete n-circular domains G⊂Cn and fulfill some geometric conditions. The above functions were applied later to research families of locally biholomorphic mappings in Cn. In this paper we consider a problem of inclusions between a few of such families XG and families MKG, k=2, 3, …, which are defined by applying a function decomposition with respect to the group of kth roots of unity.