Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1702-10
Keywords
Intrinsic square functions, intrinsic $g_{\lambda}^*$-function, commutators, weighted Lebesgue spaces, CMO functions
First Page
728
Last Page
750
Recommended Citation
WU, X, & YU, X (2019). Compactness of the commutators of intrinsic square functions on weighted Lebesgue spaces. Turkish Journal of Mathematics 43 (2): 728-750. https://doi.org/10.3906/mat-1702-10
