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A note on commutators of Hardy operators

Fayou Zhao

Mathematische Nachrichten, 2012, vol. 285, issue 10, 1294-1298

Abstract: Fu and Lu et al. 7 showed that the commutator \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal {H}_{\beta ,b}$\end{document} generated by the fractional Hardy operator and a locally integrable function b is bounded on the homogenous Herz spaces if and only if b is a central bounded mean oscillation function. We show that their result is optimal by giving a counterexample.

Date: 2012
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