Weighted L^p→ L^q-boundedness of commutators and paraproducts in the Bloom setting

2023/03/26 by Timo S. Hänninen, Hänninen, Timo S., Emiel Lorist +3 · 2 citations
Mathematics · #42B20 (Primary) 47B47 (Secondary) #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Holomorphic and Operator Theory #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2303.14855

openalex publication_date 2023/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

As our main result, we supply the missing characterization of the L^p(μ)→ L^q(λ) boundedness of the commutator of a non-degenerate Calderón--Zygmund operator T and pointwise multiplication by b for exponents 1

Cited by

• Notes on Bi-parameter Paraproducts
• Off-diagonal bloom weighted estimates for bilinear commutators

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