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A note on commutators of Hardy operators

✍ Scribed by Fayou Zhao

Publisher: John Wiley and Sons
Year: 2012
Tongue: English
Weight: 126 KB
Volume: 285
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.201100160

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✦ Synopsis

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.

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