Geodesic
Weighted Convolution Operators on lp
Canadian mathematical bulletin, Tome 48 (2005) no. 2, pp. 175-179

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DOI

The main results deal with conditions for the validity of the weighted convolution inequality ${{\sum }_{n\in \mathbb{Z}}}|{{b}_{n}}\,{{\sum }_{k\in \mathbb{Z}}}{{a}_{n-{{k}^{x}}k}}{{|}^{p}}\,\le \,{{C}^{p\,}}\,{{\sum }_{k\in \mathbb{Z}}}\,{{\left| {{x}_{k}} \right|}^{p}}$ when $p\,\ge \,1$ .
DOI : 10.4153/CMB-2005-015-x
Mots-clés : 40G10, 40E05, convolution operators on lp 
Borwein, David; Kratz, Werner. Weighted Convolution Operators on lp. Canadian mathematical bulletin, Tome 48 (2005) no. 2, pp. 175-179. doi: 10.4153/CMB-2005-015-x
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     author = {Borwein, David and Kratz, Werner},
     title = {Weighted {Convolution} {Operators} on lp},
     journal = {Canadian mathematical bulletin},
     pages = {175--179},
     year = {2005},
     volume = {48},
     number = {2},
     doi = {10.4153/CMB-2005-015-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-015-x/}
}
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