Abstract

By making use of our previous result on a localization principle for biholomorphic mappings between equidimensional Fock-Bargmann-Hartogs domains in ℂn×ℂm with m≥2 and the same technique as in our previous study of the Fock-Bargmann-Hartogs domains in ℂn×ℂ, in this paper we establish a characterization of biholomorphicity of holomorphic self-mappings of generalized Fock-Bargmann-Hartogs domains. As a special case of this, we obtain the main result of a recent paper by Guo, Feng and Bi.

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