Commutators of multilinear Calderón-Zygmund operators with kernels of Dini's type and applications

By Pu Zhang, I. Sun. Journal of Mathematical Inequalities, 2019

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. Let T be a multilinear Calder´on-Zygmund operator of type ω with ω ( t ) being non- decreasing and satisfying a kind of Dini’s type condition. Let T Π (cid:2) b be the iterated commutators of T with BMO functions. The weighted strong and weak L ( log L ) -type endpoint estimates for T Π (cid:2) b with multiple weights are established. Some boundedness properties on weighted vari- able exponent Lebesgue spaces are also obtained. As applications, multiple weighted estimates for iterated commutators of bilinear pseudo-differential operators and paraproducts with mild regularity are given.

Subfields: Applied Mathematics

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Citations in the corpus

• Extrapolation for multilinear compact operators and applications (2020, background): “1 improves the weighted boundedness given in [55], but also the weighted compactness for the bilinear Calderón-Zygmund operator in [5] since wi i ∈ Ap (i = 1, .”