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Small cap decoupling inequalities: Bilinear methods

Published 20 Nov 2019 in math.CA | (1911.08722v2)

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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