Endpoint estimates for commutators of intrinsic square functions in the Morrey type spaces

2010/11/07 by Wang, Hua
#42B25 #42B35 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1011.1622

Abstract

In this paper, the boundedness properties of commutators generated by b and intrinsic square functions in the endpoint case are discussed, where b∈ BMO(\mathbb Rⁿ). We first establish the weighted weak Llog L-type estimates for these commutator operators. Furthermore, we will prove endpoint estimates of commutators generated by BMO(\mathbb Rⁿ)functions and intrinsic square functions in the weighted Morrey spaces L^1,κ(w) for 0

Related

• Weighted estimates for vector-valued intrinsic square functions and commutators in the Morrey type spaces
• Commutators of vector-valued intrinsic square functions on vector-valued generalized weighted Morrey spaces
• Boundedness of intrinsic square functions and commutators on generalized central Morrey spaces
• Boundedness of vector-valued intrinsic square functions in Morrey type spaces
• Boundedness of intrinsic square functions and their commutators on generalized weighted Orlicz-Morrey spaces