本論文首先於多維複空間中定義兩種環形圓域：Tc 與 TR。接著針對所有可能的小球半徑，探討這兩種環形圓域的擬凸性與多項式凸性。

In this thesis, two kinds of open solid tori (or torus-like domains) in C^n, n greater than or equal to 2, Tc and TR are defined. Also, the pseudoconvexity and polynomial convexity of Tc and TR are investigated for all possible radii of minor spheres.

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