Bilinear Hilbert transforms along curves I: The monomial case

Xiaochun Li

doi:10.2140/apde.2013.6.197

Bilinear Hilbert transforms along curves I: The monomial case

Xiaochun Li

Mathematics

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

Abstract

We establish an L² × ² to ¹ estimate for the bilinear Hilbert transform along a curve defined by a monomial. Our proof is closely related to multilinear oscillatory integrals.

Original language	English (US)
Pages (from-to)	197-221
Number of pages	25
Journal	Analysis and PDE
Volume	6
Issue number	1
DOIs	https://doi.org/10.2140/apde.2013.6.197
State	Published - 2013

Keywords

Bilinear Hilbert transform along curves

ASJC Scopus subject areas

Analysis
Numerical Analysis
Applied Mathematics

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10.2140/apde.2013.6.197

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Bilinear Hilbert transforms along curves I: The monomial case

Abstract

Keywords

ASJC Scopus subject areas

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