Poincaré and Opial inequalities for vector-valued convolution products
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摘要
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.
论文关键词：Poincaré and Opial inequalities,Semigroups,Cosine functions,Convolution products
论文评审过程：Received 26 September 2010, Revised 7 August 2011, Available online 12 September 2011.
论文官网地址：https://doi.org/10.1016/j.cam.2011.08.021
