RATIONAL APPROXIMATION ON COMPACT NOWHERE DENSE SETS
For a compact, nowhere dense set X in the complex plane, C, define Rp(X) as the closure of the rational functions with poles off X in Lp(X, dA). It is well known that for 1 ≤ p < 2, Rp(X) = Lp(X) . Although density may not be achieved for p > 2, there exists a set X so that Rp(X) = Lp(X) for p...
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| Format: | Others |
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UKnowledge
2012
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| Online Access: | http://uknowledge.uky.edu/math_etds/4 http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1003&context=math_etds |