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1. CMB 2005 (vol 48 pp. 175)

Borwein, David; Kratz, Werner
Weighted Convolution Operators on $\ell_p$
The main results deal with conditions for the validity of the weighted convolution inequality $\sum_{n\in\mathbb Z}\left|b_n\sum_{k\in\mathbb Z} a_{n-k}x_k\right|^p\le C^p\sum_{k\in\mathbb Z} |x_k|^p$ when $p\ge1$.

Keywords:convolution operators on $\ell_p$
Categories:40G10;, 40E05

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