Article ID Journal Published Year Pages File Type
6423028 Journal of Computational and Applied Mathematics 2012 8 Pages PDF
Abstract

Various Lp form Poincaré and Opial inequalities are given for vector-valued convolution products. We apply our results to infinitesimal generators of C0-semigroups and cosine functions. Typical examples of these operators are differential operators in Lebesgue spaces.

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Physical Sciences and Engineering Mathematics Applied Mathematics
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Poincaré and Opial inequalities for vector-valued convolution products
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