A bilinear extension inequality in two dimensions - ScienceDirect

View PDF

Journal of Functional Analysis

Volume 201, Issue 1, 20 June 2003, Pages 57-77

Journal of Functional Analysis

Dedicated to the memory of Terence James Carbery, 1916–2001

https://doi.org/10.1016/S0022-1236(02)00148-9 Get rights and content

Under an Elsevier user license

open archive

Abstract

We provide sharp decay estimates for circular averages of a certain bilinear extension operator on $L^{2} (S^{1})×L^{2} (S^{1})$ .

Keywords

Bilinear estimates

Fourier extension operators

Cited by (0)

¹: Supported by Spanish Grant DGICyT PB94–0192, La Universidad Politécnica de Madrid, and by an Edinburgh Mathematical Society Grant.

²: Supported by the European Commission via the TMR network (Harmonic Analysis).

³: Supported by he European Commission via the TMR network (Harmonic Analysis), and a Leverhulme Fellowship.

Copyright © 2002 Elsevier Science (USA). All rights reserved.