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<i>L<sup>p</sup></i> Bounded Point Evaluations for Polynomials and Uniform Rational ApproximationMilitzer, Erin 01 January 2010 (has links)
A connection is established between uniform rational approximation, and approximation in the mean by polynomials on compact nowhere dense subsets of the complex plane C. Peak points for R(X) and bounded point evaluations for Hp(X, dA), 1 ≤ p < ∞, play a fundamental role.
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