A modulation invariant Carleson embedding theorem outside local L²

2015/10/21 by Francesco Di Plinio, Yumeng Ou, Di Plinio, Francesco +1
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Primary: 42B20 #Secondary: 42B25

paper · pdf · doi:10.48550/arxiv.1510.06433

openalex publication_date 2015/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The article arXiv:1309.0945 by Do and Thiele develops a theory of Carleson embeddings in outer L^p spaces for the wave packet transform of functions in L^p(\mathbb R), in the 2≤ p≤ ∞ range referred to as local L². In this article, we formulate a suitable extension of this theory to exponents 1

Citations

• Banach-valued multilinear singular integrals
• Some new function spaces and their applications to Harmonic analysis

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