Geodesic
Convolution Inequalities in lp Weighted Spaces
Canadian mathematical bulletin, Tome 55 (2012) no. 2, pp. 355-367

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DOI

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.
DOI : 10.4153/CMB-2011-103-0
Mots-clés : 26D15, 44A35, inequalities for sums, convolution 
Nhan, Nguyen Du Vi; Duc, Dinh Thanh. Convolution Inequalities in lp Weighted Spaces. Canadian mathematical bulletin, Tome 55 (2012) no. 2, pp. 355-367. doi: 10.4153/CMB-2011-103-0
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     title = {Convolution {Inequalities} in lp {Weighted} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {355--367},
     year = {2012},
     volume = {55},
     number = {2},
     doi = {10.4153/CMB-2011-103-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-103-0/}
}
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