The (weak-L²) Boundedness of The Quadratic Carleson Operator

2007/10/11 by Victor Lie, Lie, Victor · 2 citations
Mathematics · #42A99 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.0710.2168

openalex publication_date 2007/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the generalized Carleson operator with polynomial phase function of degree two is of weak type (2,2). For this, we introduce a new approach to the time-frequency analysis of the quadratic phase.

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