Full paper in PDF format:
$%J. A. Barceló, J. M. Bennett, A. Carbery, A. Ruiz, and M. Cruz Vilela, A note on weighted estimates for the
Schrödinger operator, Rev. Mat. Complut. 21 (2008), no. 2, 481–487.%$
A Note on Weighted Estimates for the
Schrödinger Operator
Juan A. BARCELÓ, Jonathan M. BENNETT,
Anthony CARBERY, Alberto RUIZ,
and M. Cruz VILELA
| | | School of Mathematics |
| The Watson Building, University of Birmingham |
| Edgbaston, Birmingham, B15 2TT — England |
| J.Bennett@bham.ac.uk |
|
| |
|
| School of Mathematics and |
| Maxwell Institute for Mathematical Sciences |
| University of Edinburgh |
| JCMB, King’s Buildings, Mayfield Road |
| Edinburgh, EH9 3JZ — Scotland |
| A.Carbery@ed.ac.uk |
| | Departamento de Matemáticas |
| Universidad Autónoma de Madrid |
| 28049 Madrid — Spain |
| alberto.ruiz@uam.es |
|
| |
|
| Departamento de Matemática Aplicada |
| Universidad de Valladolid |
| Plaza Santa Eulalia 9 y 11 |
| 40005 Segovia — Spain |
| maricruz@dali.eis.uva.es |
|
Received: October 3, 2007
Accepted:
December 20, 2007
We study two problems closely related to each other. The first one is
concerned with some smoothing weighted estimates with weights in a certain
Morrey-Campanato spaces, for the solution of the free Schrödinger equation.
The second one is a weighed trace inequality.
Key words: restriction theorem, Schrödinger operator.
2000 Mathematics Subject Classification: 42B15, 35J05.