Poincar茅 and Opial inequalities for vector-valued convolution products

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• 作者：Pedro J. Miana^a ; ^{pjmiana@unizar.es} ; Natalia Romero^b ; ^{natalia.romero@unirioja.es}
• 关键词：Poincaré ; and Opial inequalities ; Semigroups ; Cosine functions ; Convolution products
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2012
• 期刊代码：72_03770427
• 类别：cp
• 出版时间：September, 2012
• 卷：236
• 期：15
• 页码：3720-3727
• 文件大小：239 K

摘要

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