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http://dx.doi.org/10.4134/BKMS.b191108

MULTILINEAR CALDERÓN-ZYGMUND OPERATORS AND THEIR COMMUTATORS ON CENTRAL MORREY SPACES WITH VARIABLE EXPONENT  

Wang, Liwei (School of Mathematics and Physics Anhui Polytechnic University)
Publication Information
Bulletin of the Korean Mathematical Society / v.57, no.6, 2020 , pp. 1427-1449 More about this Journal
Abstract
In this paper, we establish the boundedness of the m-linear Calderón-Zygmund operators on product of central Morrey spaces with variable exponent. The corresponding boundedness properties of their commutators with λ-central BMO symbols are also considered. Finally, we prove that the multilinear commutators of Calderón-Zygmund singular integrals introduced by Pérez and Trujillo-Gonález are bounded on central Morrey spaces with variable exponent. Our results improve and generalize some previous classical results to the variable exponent setting.
Keywords
Variable exponent; central Morrey spaces; m-linear $Calder{\acute{o}}n$-Zygmund operators; multilinear commutator;
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