논문KCI 등재
FUNCTION ALGEBRAS ON BIDISKS
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We study sufficient conditions for function algebras generated by four smooth functions on a small closed bidisk near the origin in C2to coincide with the space of continuous functions on the bidisk. This problem in one dimension has been studied by De Paepe and the second name author.
Abstract
We study sufficient conditions for function algebras generated by four smooth functions on a small closed bidisk near the origin in C2to coincide with the space of continuous functions on the bidisk. This problem in one dimension has been studied by De Paepe and the second name author.
참고문헌 (5)
- N. Q. Dieu, "Function algebras on disks II", Indag. Math. (NS), 17(4), pp.557~566 (2006)
- N. Q. Dieu, "Function algebras on disks", Complex Var. Theory Appl, 47(5), pp.447~451 (2002)
- L. Hormander, "Uniform approximation on compact sets in Cn", Math. Scand, 23, pp.5~21 (1968)
- A. G. O'Farrell, "Holomorphic approximation in Lipschitz norms, Contemp. Math., 32", Proceedings of the conference on Banach algebras and several complex variables, pp.187~194 (1983), Amer. Math. Soc.
- P. J. de Paepe, "Eva Kallin's lemma on polynomial convexity", Bull. London Math. Soc, 33(1), pp.1~10 (2001)
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