Аннотация:
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.
Ключевые слова:
polynomial and rational approximation, capacity, peak points, point evaluations.
Образец цитирования:
J. E. Brennan, E. R. Militzer, “Lp-bounded point evaluations for polynomials and uniform rational approximation”, Алгебра и анализ, 22:1 (2010), 57–74; St. Petersburg Math. J., 22:1 (2011), 41–53
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\paper $L^p$-bounded point evaluations for polynomials and uniform rational approximation
\jour Алгебра и анализ
\yr 2010
\vol 22
\issue 1
\pages 57--74
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\jour St. Petersburg Math. J.
\yr 2011
\vol 22
\issue 1
\pages 41--53
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Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/aa1170
https://www.mathnet.ru/rus/aa/v22/i1/p57
Эта публикация цитируется в следующих 6 статьяx:
Yang L., “Bounded Point Evaluations For Certain Polynomial and Rational Modules”, J. Math. Anal. Appl., 474:1 (2019), 219–241
Yang L., “Spectral Picture For Rationally Multicyclic Subnormal Operators”, Banach J. Math. Anal., 13:1 (2019), 151–173
Yang L., “Bounded Point Evaluations For Rationally Multicyclic Subnormal Operators”, J. Math. Anal. Appl., 458:2 (2018), 1059–1072
Yang L., “A note on Lp-bounded point evaluations for polynomials”, Proc. Amer. Math. Soc., 144:11 (2016), 4943–4948
Brennan J.E., “Absolutely Continuous Representing Measures For R(X)”, Bull. London Math. Soc., 46:6 (2014), 1133–1144
J. E. Brennan, C. N. Mattingly, “Approximation by rational functions on compact nowhere dense subsets of the complex plane”, Anal.Math.Phys., 3:3 (2013), 201
Цитирование в формате AMSBIB
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