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Multilinear Calderon-Zygmund operators and their commutators on central Morrey spaces with variable exponent

Liwei Wang
대한수학회 (The Korean Mathematical Society)|2020.11|대한수학회보 (Bulletin of the KMS)|제57권 제6호|pp. 1427-1449|DOI 10.4134/BKMS.b191108

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참고문헌

키워드

multilinear commutatorVariable exponentcentral Morrey spaces$m$-linear Calder\'{o}n-Zygmund operators
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초록

In this paper, we establish the boundedness of the $m$-linear Calder\'{o}n-Zygmund operators on product of central Morrey spaces with variable exponent. The corresponding boundedness properties of their commutators with $\lambda$-central {\rm BMO} symbols are also considered. Finally, we prove that the multilinear commutators of Calder\'{o}n-Zygmund singular integrals introduced by P\'{e}rez and Trujillo-Gonz\'{a}lez are bounded on central Morrey spaces with variable exponent. Our results improve and generalize some previous classical results to the variable exponent setting.

Abstract

In this paper, we establish the boundedness of the $m$-linear Calder\'{o}n-Zygmund operators on product of central Morrey spaces with variable exponent. The corresponding boundedness properties of their commutators with $\lambda$-central {\rm BMO} symbols are also considered. Finally, we prove that the multilinear commutators of Calder\'{o}n-Zygmund singular integrals introduced by P\'{e}rez and Trujillo-Gonz\'{a}lez are bounded on central Morrey spaces with variable exponent. Our results improve and generalize some previous classical results to the variable exponent setting.

참고문헌 (34)

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