MULTILINEAR BMO ESTIMATES FOR THE COMMUTATORS OF MULTILINEAR FRACTIONAL MAXIMAL AND INTEGRAL OPERATORS ON THE PRODUCT GENERALIZED MORREY SPACES

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GÜRBÜZ F.

International Journal of Analysis and Applications, vol.17, no.4, pp.596-619, 2019 (Scopus)

• Publication Type: Article / Article
• Volume: 17 Issue: 4
• Publication Date: 2019
• Doi Number: 10.28924/2291-8639-17-2019-596
• Journal Name: International Journal of Analysis and Applications
• Journal Indexes: Scopus
• Page Numbers: pp.596-619
• Keywords: Generalized Morrey space, Generalized vanishing Morrey space, Multi-sublinear fractional maximal operator, Multilinear BMO space, Multilinear commutator, Multilinear fractional integral operator
• Open Archive Collection: AVESIS Open Access Collection
• Hakkari University Affiliated: Yes

Abstract

In this paper, we establish multilinear BMO estimates for commutators of multilinear fractional maximal and integral operators both on product generalized Morrey spaces and product generalized vanishing Morrey spaces, respectively. Similar results are still valid for commutators of multilinear maximal and singular integral operators.