| |
|
|
| |
Volume 3, Issue 1, Article 6 |
|
|
|
|
|
| |
Norms of Certain Operators on Weighted $\ell_p$Spaces and Lorentz Sequence Spaces
|
| |
|
Authors: |
Graham Jameson, R. Lashkaripour, |
|
| |
|
Keywords:
|
Hardy's inequality, Hilbert's inequality, Norms of operators. |
|
| |
|
Date Received:
|
07/05/01 |
|
| |
|
Date Accepted:
|
21/09/01 |
|
| |
|
Subject Codes: |
26D15,15A60,47B37.
|
|
| |
|
Editors: |
Bohumir Opic, |
|
| |
|
|
|
|
|
| |
|
Abstract: |
The problem addressed is the exact determination of the norms of the classical Hilbert, Copson and averaging operators on weighted  spaces and the corresponding Lorentz sequence spaces  , with the power weighting sequence  or the variant defined by  . Exact values are found in each case except for the averaging operator with , for which estimates deriving from various different methods are obtained and compared.
|
|
|
|
|
|
| |
|
|
|
|
| |
|
|
|
|
|
Home
