$L^{p}$-bounded point evaluations for polynomials and uniform rational approximation

DOI10.1090/S1061-0022-2010-01131-2zbMath1211.30050OpenAlexW2076163402MaRDI QIDQ3082444

E. R. Militzer, James E. Brennan

Publication date: 10 March 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2010-01131-2

zbMATH Keywords

polynomial approximationcapacityrational approximationpeak pointspoint evaluations

Mathematics Subject Classification ID

Approximation in the complex plane (30E10)

Related Items (4)

Bounded point evaluations for certain polynomial and rational modules ⋮ Bounded point evaluations for rationally multicyclic subnormal operators ⋮ Spectral picture for rationally multicyclic subnormal operators ⋮ A note on 𝐿^{𝑝}-bounded point evaluations for polynomials

Cites Work

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• A simple proof that certain capacities decrease under contraction
• Sufficient conditions for bounded point evaluations
• Painlevé's problem and the semiadditivity of analytic capacity.
• Invariant subspaces and weighted polynomial approximation
• Nontangential limits in \(P^t(\mu )\)-spaces and the index of invariant subgroups
• Analytic capacity and measure
• Approximation in the mean by polynomials

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