Lp-bounded point evaluations for polynomials and uniform rational approximation

J. E. Brennan, E. R. Militzer

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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 languageEnglish
Pages (from-to)41-53
Number of pages13
JournalSt. Petersburg Mathematical Journal
Issue number1
StatePublished - 2011


  • Capacity
  • Peak points
  • Point evaluations
  • Polynomial and rational approximation

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics


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