Functions in the space R2(E) at boundary points of the interior

Let E be a compact subset of the complex plane ℂ. We denote by R(E) the algebra consisting of (the restrictions to E of) rational functions with poles off E. Let m denote 2-dimensional Lebesgue measure. For p≥1, let Rp(E) be the closure of R(E) in Lp(E,dm).

Bibliographic Details
Main Author: Edwin Wolf
Format: Article
Language:English
Published: Hindawi Limited 1983-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171283000319