Small cap decoupling inequalities: Bilinear methods

2019/11/20 by Oh, Changkeun
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1911.08722

Abstract

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

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