paper

Small cap decoupling inequalities: Bilinear methods

arXiv:1911.08722

Abstract

We obtain sharp small cap decoupling inequalities associated to the moment curve for certain range of exponents . Our method is based on the bilinearization argument due to Bourgain and Bourgain-Demeter. Our result generalizes theirs to all higher dimensions.

arXiv comment17 pages. Final version, to appear in Rev. Mat. Iberoam