Sobolev boundedness and continuity for commutators of the local Hardy–Littlewood maximal function
Year: 2021
Type: article
Abstract: Let \(\Omega\) be a subdomain in \(\mathbb{R}^n\) and \(M_\Omega\) be the local Hardy-Littlewood maximal function. In this paper, we show that both the commutator and the maximal commutator of \(M_\Omega\) are bounded and continuous from the first order Sobolev spaces \(W^{1,p_1}(\Omega)\) to \(W^{1,p}(\Omega)\) provided that \(b\in W^{1,p_2}(\Omega)\), \(1
Source: Annales Fennici Mathematici
DOI: 10.54330/afm.113296
Authors: Feng Liu, Qingying Xue, Kôzô Yabuta
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4206411008