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arXiv · 1103.1715

Boundedness of intrinsic square functions on generalized Morrey spaces

Hua Wang
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Abstract

In this paper, we will study the strong type and weak type estimates of intrinsic square functions including the Lusin area integral, Littlewood-Paley $g$-function and $g^*_λ$-function on the generalized Morrey spaces $L^{p,Φ}$ for $1\le p<\infty$, where $Φ$ is a growth function on $(0,\infty)$ satisfying the doubling condition. The boundedness of the commutators generated by $BMO(\mathbb R^n)$ functions and intrinsic square functions is also obtained.

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Hua Wang. 2012-07-10. Boundedness of intrinsic square functions on generalized Morrey spaces. https://arxiv.org/abs/1103.1715

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