On weighted Compactness of Commutators of square function and semi-group maximal function associated to Schrodinger operator

2022/05/04 by Wang, Shifen, Xue, Qingying, Zhang, Chunmei
#35J10 #42B25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2205.01964

Abstract

In this paper, the object of our investigation is the following Littlewood-Paley square function g associated with the Schrödinger operator L=-Δ+V which is defined by: g(f)(x)=(∫₀^∞|(d)/(dt)e^-tL(f)(x)|²tdt)^1/2, where Δ is the laplacian operator on ℝⁿ and V is a nonnegative potential. We show that the commutators of g are compact operators from L^p(w) to L^p(w) for 10|e^-tLf(x)|.

Related

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