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Algebra i Analiz, 2010, Volume 22, Issue 1, Pages 57–74 (Mi aa1170)  
This article is cited in 6 scientific papers (total in 6 papers)

Research Papers

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

J. E. Brennan, E. R. Militzer

Department of Mathematics, University of Kentucky, Lexington, KY
Full-text PDF (289 kB) Citations (6)
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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 $\mathbb C$. Peak points for $R(X)$ and bounded point evaluations for $H^p(X,dA)$, $1\leq p<\infty$, play a fundamental role.
Keywords: polynomial and rational approximation, capacity, peak points, point evaluations.
Received: 19.11.2009
English version:
St. Petersburg Mathematical Journal, 2011, Volume 22, Issue 1, Pages 41–53
DOI: https://doi.org/10.1090/S1061-0022-2010-01131-2
Bibliographic databases:
Document Type: Article
MSC: 30E10
Language: English
Citation: J. E. Brennan, E. R. Militzer, “$L^p$-bounded point evaluations for polynomials and uniform rational approximation”, Algebra i Analiz, 22:1 (2010), 57–74; St. Petersburg Math. J., 22:1 (2011), 41–53
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:392
    Full-text PDF :111
    References:45
    First page:21
     
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