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Some remarks on the sparse dominations for commutators of multi(sub)linear operator

Zhidan Wang

Journal of Inequalities and Applications · 2021

doi:10.1186/s13660-021-02585-z (opens in a new tab)

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Abstract

We establish pointwise sparse dominations for the iterated commutators of multi(sub)linear operators satisfying the $W_{q}$ W q condition. As consequences, we present some quantitative weighted estimates for the commutators. In addition, we also obtain the Fefferman–Stein inequality, the Coifman–Fefferman inequality, and the local decay estimates regarding the iterated commutators.

Abstract licence: CC BY-NC-ND

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