Compactness of the commutators of intrinsic square functions on weighted Lebesgue spaces

Authors: XIAOMEI WU, XIAO YU

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

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