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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
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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 inequalities for sums, convolution
MSC Classifications: 26D15, 44A35 show english descriptions Inequalities for sums, series and integrals
Convolution
26D15 - Inequalities for sums, series and integrals
44A35 - Convolution
 

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