The multilinear Littlewood-Paley square operators and their commutators on weighted Morrey spaces

Xi Cen ()

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 2, 749-775

Abstract: Abstract In this paper, we prove the boundedness of the multilinear Littlewood-Paley square operators and their commutators on weighted Morrey spaces, then we give the boundedness and weak-type $$L\log L$$ L log L estimates for the commutators of multilinear Littlewood-Paley g-functions and multilinear Marcinkiewicz integrals on weighted Morrey spaces in the form of corollaries.

Keywords: Multilinear square operator; Littlewood-Paley operator; Weighted Morrey space; Commutator; Weak-type $$L\log L$$ L log L estimate; Multilinear Marcinkiewicz integral; BMO; Primary 42B25; Secondary 42B20; 47H60; 47B47 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-023-00406-1

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