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• W2963832406 abstract "The Bernstein–Markov property is an asymptotic quantitative assumption on the growth of uniform norms of polynomials or rational functions on a compact set with respect to (L^2_mu )-norms, where (mu ) is a positive finite measure. We consider two variants of the Bernstein–Markov property for rational functions with restricted poles and compare them with the polynomial Bernstein–Markov property to find some sufficient conditions for the latter to imply the former. Moreover, we recover a sufficient mass-density condition for a measure to satisfy the rational Bernstein–Markov property on its support. Finally we present, as an application, a meromorphic (L^2) version of the Bernstein–Walsh Lemma." @default.
• W2963832406 created "2019-07-30" @default.
• W2963832406 creator A5079852837 @default.
• W2963832406 date "2017-02-11" @default.
• W2963832406 modified "2023-09-25" @default.
• W2963832406 title "Some Results on the Rational Bernstein–Markov Property in the Complex Plane" @default.
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• W2963832406 doi "https://doi.org/10.1007/s40315-017-0194-2" @default.
• W2963832406 hasPublicationYear "2017" @default.
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