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# Convolution Inequalities in $l_p$ Weighted Spaces

Published:2011-05-20
Printed: Jun 2012
• Nguyen Du Vi Nhan,
Department of Mathematics, Quy Nhon University, Binh Dinh, Vietnam
• Dinh Thanh Duc,
Department of Mathematics, Quy Nhon University, Binh Dinh, Vietnam
 Format: LaTeX MathJax PDF

## Abstract

Various weighted $l_p$-norm inequalities in convolutions are derived by a simple and general principle whose $l_2$ version was obtained by using the theory of reproducing kernels. Applications to the Riemann zeta function and a difference equation are also considered.
 Keywords: inequalities for sums, convolution
 MSC Classifications: 26D15 - Inequalities for sums, series and integrals 44A35 - Convolution

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