L^p Bounded Point Evaluations for Polynomials and Uniform Rational Approximation

Author

Erin Militzer, University of KentuckyFollow

Date Available

5-6-2011

Year of Publication

2010

Degree Name

Doctor of Philosophy (PhD)

Document Type

Dissertation

College

Arts and Sciences

Department

Mathematics

First Advisor

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 H^p(X, dA), 1 ≤ p < ∞, play a fundamental role.

Recommended Citation

Militzer, Erin, "L^p Bounded Point Evaluations for Polynomials and Uniform Rational Approximation" (2010). University of Kentucky Doctoral Dissertations. 106.
https://uknowledge.uky.edu/gradschool_diss/106