Decoupling for two quadratic forms in three variables: a complete characterization

Shaoming Guo; Changkeun Oh; Joris Roos; Po Lam Yung; Pavel Zorin-Kranich

doi:10.4171/RMI/1332

Decoupling for two quadratic forms in three variables: a complete characterization

Shaoming Guo, Changkeun Oh, Joris Roos, Po Lam Yung, Pavel Zorin-Kranich

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We prove sharp decoupling inequalities for all degenerate surfaces of codimension two in ℝ⁵ given by two quadratic forms in three variables. Together with previous work by Demeter, Guo, and Shi in the non-degenerate case, this provides a classification of decoupling inequalities for pairs of quadratic forms in three variables.

Original language	English
Pages (from-to)	283-306
Number of pages	24
Journal	Revista Matematica Iberoamericana
Volume	39
Issue number	1
DOIs	https://doi.org/10.4171/RMI/1332
Publication status	Published - 2023

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title = "Decoupling for two quadratic forms in three variables: a complete characterization",

abstract = "We prove sharp decoupling inequalities for all degenerate surfaces of codimension two in ℝ5 given by two quadratic forms in three variables. Together with previous work by Demeter, Guo, and Shi in the non-degenerate case, this provides a classification of decoupling inequalities for pairs of quadratic forms in three variables.",

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author = "Shaoming Guo and Changkeun Oh and Joris Roos and Yung, {Po Lam} and Pavel Zorin-Kranich",

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AU - Guo, Shaoming

AU - Oh, Changkeun

AU - Roos, Joris

AU - Yung, Po Lam

AU - Zorin-Kranich, Pavel

PY - 2023

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AB - We prove sharp decoupling inequalities for all degenerate surfaces of codimension two in ℝ5 given by two quadratic forms in three variables. Together with previous work by Demeter, Guo, and Shi in the non-degenerate case, this provides a classification of decoupling inequalities for pairs of quadratic forms in three variables.

KW - Fourier decoupling

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DO - 10.4171/RMI/1332

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EP - 306

JO - Revista Matematica Iberoamericana

JF - Revista Matematica Iberoamericana

IS - 1

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Decoupling for two quadratic forms in three variables: a complete characterization

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