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Date Available
5-6-2011
Year of Publication
2010
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
College
Arts and Sciences
Department/School/Program
Mathematics
Faculty
Dr. James E. Brennan
Abstract
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.
Recommended Citation
Militzer, Erin, "Lp Bounded Point Evaluations for Polynomials and Uniform Rational Approximation" (2010). University of Kentucky Doctoral Dissertations. 106.
https://uknowledge.uky.edu/gradschool_diss/106
