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

TL;DR
This paper establishes the boundedness of multilinear Littlewood-Paley square operators and their commutators on weighted Morrey spaces, providing new insights into their behavior and related weak-type estimates.
Contribution
It introduces the boundedness results for multilinear Littlewood-Paley operators and their commutators on weighted Morrey spaces, including new weak-type $L ext{log}L$ estimates.
Findings
Boundedness of multilinear Littlewood-Paley square operators on weighted Morrey spaces.
Boundedness and weak-type $L ext{log}L$ estimates for commutators of multilinear Littlewood-Paley g-functions.
Extension of results to multilinear Marcinkiewicz integrals.
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 estimates for the commutators of multilinear Littlewood-Paley g-functions and multilinear Marcinkiewicz integrals on weighted Morrey spaces in the form of corollaries.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Advanced Mathematical Physics Problems · Nonlinear Partial Differential Equations
