- Turkish Journal of Mathematics
- Vol: 43 Issue: 2
- Compactness of the commutators of intrinsic square functions on weighted Lebesgue spaces
Compactness of the commutators of intrinsic square functions on weighted Lebesgue spaces
Authors : Xiaomei Wu, Xiao Yu
Pages : 728-750
View : 8 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :The aim of this paper is to study the compactness for the commutators of intrinsic square functions, including the intrinsic $g_{\lambda}^*$-function and the intrinsic Littlewood-Paley g-function. Using a weighted version of the Frech\'{e}t-Kolmogorov-Riesz theorem, the compactness for their commutators generated with the CMO functions is obtained on the weighted Lebesgue spaces.Keywords : Intrinsic square functions, intrinsic $g_{lambda}^*$-function, commutators, weighted Lebesgue spaces, CMO functions