Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-05T15:35:01.940Z Has data issue: false hasContentIssue false

A MULTILINEAR EXTENSION INEQUALITY IN $\mathbb{R}^{n}$

Published online by Cambridge University Press:  28 April 2004

J. A. BARCELÓ
Affiliation:
ETSI de Caminos, Universidad Politécnica de Madrid, 28040, Madrid, [email protected]
J. M. BENNETT
Affiliation:
School of Mathematics, Trinity College, Dublin 2, [email protected]
A. CARBERY
Affiliation:
School of Mathematics, University of Edinburgh, JCMB, Kings Buildings, Mayfield Road, Edinburgh, EH9 3JZ, United [email protected]
Get access

Abstract

Sharp decay estimates are provided in this paper for spherical averages of a certain multilinear extension operator on $L^{2}(\mathbb{S}^{n-1})\times \ldots\times L^{2}(\mathbb{S}^{n-1})$.

Keywords

Type
Papers
Copyright
© The London Mathematical Society 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)