Year: 2025
Type: article
Abstract: The optimal sufficient conditions for the L p L^p -to- L q L^q compactness of commutators of singular integral operators of both Calderón-Zygmund and of rough type are shown in the different exponent ranges “ q > p q>p ,” “ q = p q=p ” and “ q > p q>p ” to quickly follow from each other. The approach is through classical compactness interpolation methods. We also present a new elementary “off-diagonal to diagonal” extrapolation principle for the compactness of commutators of linear operators, which is of independent interest.
DOI: 10.1090/proc/17382
Author: Tuomas Oikari
Institution: University of Helsinki
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Suomalainen Tiedeakatemia
OpenAlex ID: W4415596415