Generalization of Levi-Oka’s Theorem Concerning Meromorphic Functions

Joji Kajiwara; Eiichi Sakai

doi:10.1017/S002776300002417X

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As Fuks [3] stated, every domain of holomorphy or meromorphy over Cn is analytically convex in the sense of Hartogs. Oka [6] proved that every domain over Cn analytically convex in the sense of Hartogs is a domain of holomorphy. Therefore a domain of meromorphy over Cn coincides with a domain of holomorphy over Cn.

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