Browse > Article
http://dx.doi.org/10.4134/BKMS.2012.49.2.235

FUNCTION ALGEBRAS ON BIDISKS  

Chi, Kieu Phuong (Department of Mathematics Vinh University)
Dieu, Nguyen Quang (Department of Mathematics Hanoi Education University)
Publication Information
Bulletin of the Korean Mathematical Society / v.49, no.2, 2012 , pp. 235-247 More about this Journal
Abstract
We study sufficient conditions for function algebras generated by four smooth functions on a small closed bidisk near the origin in $\mathbb{C}$ to 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.
Keywords
function algebras; polynomially convex; approximation on disks;
Citations & Related Records
연도 인용수 순위
  • Reference
1 N. Q. Dieu and P. J. de Paepe, Function algebras on disks, Complex Var. Theory Appl. 47 (2002), no. 5, 447-451.   DOI   ScienceOn
2 L. Hormander and J. Wermer, Uniform approximation on compact sets in Cn, Math. Scand. 23 (1968), 5-21.   DOI
3 A. G. O'Farrell, K.J. Preskenis, and D. Walsh, Holomorphic approximation in Lipschitz norms, Proceedings of the conference on Banach algebras and several complex variables (New Haven, Conn., 1983), 187-194, Contemp. Math., 32, Amer. Math. Soc., Providence, RI, 1984.
4 P. J. de Paepe, Eva Kallin's lemma on polynomial convexity, Bull. London Math. Soc. 33 (2001), no. 1, 1-10.   DOI
5 N. Q. Dieu and K. P. Chi, Function algebras on disks II, Indag. Math. (NS). 17 (2006), no. 4, 557-566.   DOI   ScienceOn