Abstract

In this letter we proved this theorem: \emph{if FF be a holomorphic mapping of TΩT_Ω to a mapping manifold XX such that for every compact subset K⊂ΩK\subset Ω the mapping FF is uniformly continues on TKT_{K} and F(TK)F(T_{K}) is a relatively compact subset of XX. If the restriction of F(z)F(z) to some hyperplane Rm+iy′\mathbb{R}^{m}+iy' is semi periodic, then F(z)F(z) is an semi mapping of TΩT_Ω to XX.}

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