Generalized Carleson Embeddings into Weighted Outer Measure Spaces

2020/07/28 by Yen Do, Do, Yen, Mark Lewers +1
Mathematics · #42B20 #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.2007.13997

openalex publication_date 2020/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove generalized Carleson embeddings for the continuous wave packet transform from L^p(ℝ,w) into an outer L^p space for 2< p < ∞ and weight w ∈ A_p/2. This work is a weighted extension of the corresponding Lebesgue result in arXiv:1309.0945v3 and generalizes a similar result in arXiv:1207.1150. The proof in this article relies on L² restriction estimates for the wave packet transform which are geometric and may be of independent interest.

Citations

• The Helicoidal Method

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