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DECOUPLING INEQUALITIES FOR QUADRATIC FORMS
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Cited 1 time in Scopus
- Authors
- Issue Date
- 2023-02
- Publisher
- DUKE UNIV PRESS
- Citation
- DUKE MATHEMATICAL JOURNAL, Vol.172 No.2, pp.387-445
- Abstract
- We prove sharp tqLp decoupling inequalities for p, q E [2, oo) and arbitrary tuples of quadratic forms. Connections to prior results on decoupling inequalities for quadratic forms are also explained. We also include some applications of our results to exponential sum estimates and to Fourier restriction estimates. The proof of our main result is based on scale-dependent Brascamp-Lieb inequalities.
- ISSN
- 0012-7094
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