Commutators of weighted Hardy operators on ℝⁿ

Fu, Zun; Liu, Zong; Lu, Shan Zhen

doi:10.1090/S0002-9939-09-09824-4

Commutators of weighted Hardy operators on $\mathbb {R}^{n}$
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by Zun Wei Fu, Zong Guang Liu and Shan Zhen Lu PDF

Proc. Amer. Math. Soc. 137 (2009), 3319-3328 Request permission

Abstract:

The purpose of this paper is to establish a sufficient and necessary condition on weight functions which ensures the boundedness of the commutators of weighted Hardy operators (with symbols in BMO$(\mathbb {R}^{n})$) on $L^{p}(\mathbb {R}^{n})$, where $1<p<\infty$.

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