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SOME ESTIMATES FOR GENERALIZED COMMUTATORS OF MULTILINEAR CALDERÓN-ZYGMUND OPERATORS

Honghai Liu|Zengyan Si|Ling Wang
대한수학회 (The Korean Mathematical Society)|2023.03|대한수학회보 (Bulletin of the KMS)|제60권 제2호|pp. 541-560|DOI 10.4134/BKMS.b220287

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참고문헌

키워드

weightMultilinear operatorsgeneralized commutatorBMO function
주제분류수학

초록

Let $T$ be an $m$-linear Calder\'on-Zygmund operator. $T_{\vec{b},S}$ is the generalized commutator of $T$ with a class of measurable functions $\{b_{i}\}_{i=1}^\infty$. In this paper, we will give some new estimates for $T_{\vec{b},S}$ when $\{b_{i}\}_{i=1}^\infty$ belongs to Orlicz-type space and Lipschitz space, respectively.

Abstract

Let $T$ be an $m$-linear Calder\'on-Zygmund operator. $T_{\vec{b},S}$ is the generalized commutator of $T$ with a class of measurable functions $\{b_{i}\}_{i=1}^\infty$. In this paper, we will give some new estimates for $T_{\vec{b},S}$ when $\{b_{i}\}_{i=1}^\infty$ belongs to Orlicz-type space and Lipschitz space, respectively.

참고문헌 (25)

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