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).
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
1983-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171283000319 |