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.
Original language | English |
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Pages (from-to) | 41-53 |
Number of pages | 13 |
Journal | St. Petersburg Mathematical Journal |
Volume | 22 |
Issue number | 1 |
DOIs | |
State | Published - 2011 |
Keywords
- Capacity
- Peak points
- Point evaluations
- Polynomial and rational approximation
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Applied Mathematics