 |
|
Weighted Convolution Operators on $\ell_p$ |
Canad. Math. Bull. 48(2005), 175-179
Published:2005-06-01
Printed: Jun 2005
Printed: Jun 2005
- David Borwein
- Werner Kratz
Abstract
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 $\ell_p$ |
| MSC Classifications: |
40G10; - unknown classification 40G10; 40E05 - Tauberian theorems, general |