Abstract view
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Convolution Inequalities in $l_p$ Weighted Spaces
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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
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.
