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Convolution Inequalities in $l_p$ Weighted Spaces |
Canad. Math. Bull. 55(2012), 355-367
Published:2011-05-20
Printed: Jun 2012
Printed: Jun 2012
- Nguyen Du Vi Nhan,
- Dinh Thanh Duc,
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 |