Decouplings for three-dimensional surfaces in \(\mathbb {R}^{6}\)

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Abstract

We obtain the sharp \(l^p\) decoupling for three-dimensional nondegenerate surfaces in \(\mathbb {R}^6\). This can be thought of as a generalization of Bourgain and Demeter’s result, which is the sharp \(l^p\) decoupling for two-dimensional nondegenerate surfaces in \(\mathbb {R}^4\).

Mathematics Subject Classification

42B10 
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Notes

Acknowledgements

The author thanks the referee for some comments that improved the presentation of our results.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsPohang University of Science and TechnologyPohangRepublic of Korea

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