The compactness of commutators of Calder\'on-Zgymund operators with Dini condition

Meng Qu; Ying Li

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arXiv · 1712.09023

The compactness of commutators of Calder\'on-Zgymund operators with Dini condition

Meng Qu·Ying Li

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Abstract

Let $T$ be the $\theta$-type Calder\'on-Zgymund operator with Dini condition. In this paper, we prove that for $b\in {\rm CMO}(\mathbb R^n)$, the commutator generated by $T$ with $b$ and the corresponding maximal commutator, are both compact operators on $L^{p}(\omega)$ spaces, where $\omega$ be the Muchenhoupt $A_p$ weight function and $1<p<\infty$.

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BibTeX RIS

Meng Qu, Ying Li. 2017-12-25. The compactness of commutators of Calder\'on-Zgymund operators with Dini condition. https://arxiv.org/abs/1712.09023

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