#### Vol. 10, No. 8, 2017

 Recent Issues
 The Journal About the Journal Editorial Board Editors’ Interests Subscriptions Submission Guidelines Submission Form Policies for Authors Ethics Statement ISSN: 1948-206X (e-only) ISSN: 2157-5045 (print) Author Index To Appear Other MSP Journals
Bilinear restriction estimates for surfaces of codimension bigger than 1

### Jong-Guk Bak, Jungjin Lee and Sanghyuk Lee

Vol. 10 (2017), No. 8, 1961–1985
##### Abstract

In connection with the restriction problem in ${ℝ}^{n}$ for hypersurfaces including the sphere and paraboloid, the bilinear (adjoint) restriction estimates have been extensively studied. However, not much is known about such estimates for surfaces with codimension (and dimension) larger than 1. In this paper we show sharp bilinear ${L}^{2}×{L}^{2}\to {L}^{q}$ restriction estimates for general surfaces of higher codimension. In some special cases, we can apply these results to obtain the corresponding linear estimates.

##### Keywords
Fourier transform of measures, complex surfaces, Fourier restriction estimates
##### Mathematical Subject Classification 2010
Primary: 42B15, 42B20