Poincare and Opial inequalities for vector-valued convolution products

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article; Proceedings Paper

Miana, Pedro J.^1,2  Romero, Natalia³ 

[1] Univ Zaragoza, Dept Matemat, E-50009 Zaragoza, Spain

[2] Univ Zaragoza, IUMA, E-50009 Zaragoza, Spain

[3] Univ La Rioja, Dept Matemat & Comp, Logrono 26004, Spain

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

DOI  :  10.1016/j.cam.2011.08.021

来源: Elsevier

【 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.

【 授权许可】

Free