Poincare and Opial inequalities for vector-valued convolution products

[摘要] Various L-p form Poincare and Opial inequalities are given for vector-valued convolution products. We apply our results to infinitesimal generators of C-0-semigroups and cosine functions. Typical examples of these operators are differential operators in Lebesgue spaces. (c) 2011 Elsevier B.V. All rights reserved.

[发布日期] 2012-09-01

[效力级别]  Proceedings Paper

[关键词] Poincare and Opial inequalities;Semigroups;Cosine functions;Convolution products