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http://dx.doi.org/10.7858/eamj.2017.010

ON A TWO WEIGHTS ESTIMATE FOR THE COMMUTATOR

Chung, Daewon (Faculty of Basic Sciences, Mathematics Major, Keimyung University)

Publication Information

East Asian mathematical journal / v.33, no.1, 2017 , pp. 103-113 More about this Journal

Abstract

We provide quantitative two weight estimates for the commutator of the Hilbert transform under certain conditions on a pair of weights (u, v) and b in $Carl_{u,v}$ . In [10] and [11], Bloom's inequality is shown in a modern setting, and the boundedness of the commutators is provided by assuming both weights u, v are $A_2$ and $b{\in}BMO_{\rho}$ . In the present paper we show that the condition on b can be replaced by $Carl_{u,v}$ by using the joint $A^d_2$ condition.

Keywords

Commutator of Hilbert transform; Joint $A_2$ -weights; Carleson sequence;

Citations & Related Records

Reference

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