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Endpoint estimates for the commutators of multilinear Calderón-Zygmund operators with Dini type kernels

Endpoint estimates for the commutators of multilinear Calderón-Zygmund operators with Dini type kernels

Let $T_{\vec{b}}$ and $T_{\Pi b}$ be the commutators in the jth entry and iterated commutators of the multilinear Calderón-Zygmund operators, respectively. It was well known that the commutators of linear Calderón-Zygmund operators were not of weak type $(1,1)$ and $(H^{1}, L^{1})$ , but they did satisfy certain endpoint $L\log L$ …