Intrinsic square functions on the weighted Morrey spaces

Abstract

In this paper, we will study the boundedness properties of intrinsic square functions including the Lusin area integral, Littlewood-Paley $g$-function and $g_{\lambda }^{\ast }$-function on the weighted Morrey spaces $L^{p,\kappa }(w)$ for $1<p<\infty$ and $0<\kappa <1$. The corresponding commutators generated by $BMO({\mathbb{R}}^n)$ functions and intrinsic square functions are also discussed.

19 pages. arXiv admin note: substantial text overlap with arXiv:1103.1715, arXiv:1111.1387

References in corpus (2)

• The boundedness of some operators with rough kernel on the weighted Morrey spaces
• Boundedness of fractional integral operators with rough kernels on weighted Morrey spaces

Cited by in corpus (2)

• Necessary and sufficient conditions for boundedness of commutators of the general fractional integral operators on weighted Morrey spaces
• Estimates for multilinear commutators of generalized fractional integral operators on weighted Morrey spaces