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arXiv · 2302.05570

Multilinear $\theta$-type Calder\'on--Zygmund operators and commutators on products of weighted Morrey spaces

Xia Han·Hua Wang
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Abstract

In this paper, we consider the boundedness properties of multilinear $\theta$-type Calder\'on--Zygmund operators $T_\theta$ recently introduced in the literature. First, we prove strong type and weak type estimates for multilinear $\theta$-type Calder\'on--Zygmund operators on products of weighted Morrey spaces with multiple weights. Then we discuss strong type estimates for both multilinear commutators and iterated commutators of $T_\theta$ on products of these spaces with multiple weights. Furthermore, the weak end-point estimates for commutators of $T_\theta$ and pointwise multiplication with functions in bounded mean oscillation are established too.

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Xia Han, Hua Wang. 2023-02-11. Multilinear $\theta$-type Calder\'on--Zygmund operators and commutators on products of weighted Morrey spaces. https://arxiv.org/abs/2302.05570

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