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

Published online by Cambridge University Press:  28 April 2004

J. A. BARCELÓ ,
J. M. BENNETT  and
A. CARBERY
J. A. BARCELÓ
Affiliation:
ETSI de Caminos, Universidad Politécnica de Madrid, 28040, Madrid, Spainma21@caminos.upm.es
J. M. BENNETT
Affiliation:
School of Mathematics, Trinity College, Dublin 2, Irelandjon@maths.tcd.ie
A. CARBERY
Affiliation:
School of Mathematics, University of Edinburgh, JCMB, Kings Buildings, Mayfield Road, Edinburgh, EH9 3JZ, United Kingdomcarbery@maths.ed.ac.uk
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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

42B10
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 3 , May 2004 , pp. 407 - 412
Copyright
© The London Mathematical Society 2004

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