Xiaomei WU, Xiao YU

90111

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

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,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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