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arXiv · 1911.08722

Small cap decoupling inequalities: Bilinear methods

Changkeun Oh
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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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Changkeun Oh. 2021-05-03. Small cap decoupling inequalities: Bilinear methods. https://arxiv.org/abs/1911.08722

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