Weighted estimates for commutators of multilinear Hausdorff operators on variable exponent Morrey-Herz type spaces
Nguyen Minh Chuong, Dao Van Duong, and Kieu Huu Dung
TL;DR
This paper proves the boundedness of commutators of multilinear Hausdorff operators on variable exponent Morrey-Herz spaces with weights, extending previous results in harmonic analysis.
Contribution
It introduces new boundedness results for commutators of multilinear Hausdorff operators on weighted variable exponent Morrey-Herz spaces, combining Lipschitz and BMO space symbols.
Findings
Boundedness of commutators established
Generalization of previous results achieved
Operators analyzed on variable exponent spaces
Abstract
In this paper, we establish the boundedness of the commutators of multilinear Hausdorff operators on the product of some weighted Morrey-Herz type spaces with variable exponent with their symbols belong to both Lipschitz space and central BMO space. By these, we generalize and strengthen some previous known results.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Nonlinear Partial Differential Equations · Advanced Mathematical Physics Problems