On weighted Compactness of Commutator of semi-group maximal function associated to Schrödinger operators

2021/02/03 by Wang, Shifen, Xue, Qingying
#42B25 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2102.02105

Abstract

Let T^* be the semi-group maximal function associated to the Schrödinger operator -Δ+V(x) with V satisfying an appropriate reverse Hölder inequality. In this paper, we show that the commutator of T^* is a compact operator on L^p(w) for 1

Related

• On weighted Compactness of Commutators of square function and semi-group maximal function associated to Schrodinger operator
• On weighted compactness of commutators of Schrödinger operators
• Weighted estimates for commutators of some singular integrals related to Schrödinger operators
• Weighted norm inequalities for commutators of Littlewood-Paley functions related to Schrödinger operators
• Note on the compactness of commutators