| Abstract |
let A(V) be the uniform algebra consisting ofthe functions which are holomorphic on a domain V, and continuous up to its boundary, and let $H^{\infty}(V)$ be the set of bounded holomorphic functions on V.Throughout this paper V will be a bounded Reinhardt domain in C^2 with $C^{2}$-boundary.We show that the maximal ideal (both in A(V) and $H^{\infty}(V))$, consisting of functions vanishingat p in V, is generated by the functions (z_1 - p_1), (z_2 - p_2), at first for the case that V is pseudoconvex, then without this condition.
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