Some inequalities for the multilinear singular integrals with Lipschitz functions on weighted Morrey spaces
Ferit Gurbuz
TL;DR
This paper establishes the boundedness of oscillation and variation operators associated with multilinear singular integrals involving Lipschitz functions on weighted Morrey spaces, advancing understanding of their behavior in harmonic analysis.
Contribution
It proves the boundedness of these operators on weighted Morrey spaces, a novel result in the context of multilinear singular integrals with Lipschitz functions.
Findings
Boundedness of oscillation operators established
Boundedness of variation operators established
Results extend the theory of multilinear singular integrals
Abstract
The aim of this paper is to prove the boundedness of the oscillation and variation operators for the multilinear singular integrals with Lipschitz functions on weighted Morrey spaces.
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