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• W2023774095 abstract "In this paper we give a simple characterization of weighted Sobolev spaces (with piecewise monotone weights) such that the multiplication operator is bounded: it is bounded if and only if the support of μ 0 is large enough. We also prove some basic properties of the appropriate weighted Sobolev spaces. To have bounded multiplication operator has important consequences in Approximation Theory: it implies the uniform bound of the zeros of the corresponding Sobolev orthogonal polynomials, and this fact allows to obtain the asymptotic behavior of Sobolev orthogonal polynomials." @default.
• W2023774095 created "2016-06-24" @default.
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• W2023774095 date "2008-07-01" @default.
• W2023774095 modified "2023-09-25" @default.
• W2023774095 title "A simple characterization of weighted Sobolev spaces with bounded multiplication operator" @default.
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• W2023774095 doi "https://doi.org/10.1016/j.jat.2008.01.003" @default.
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