Weighted estimates for commutators of multilinear Hausdorff operators on variable exponent Morrey-Herz type spaces

2017/10/03 by Nguyen Minh Chuong, Chuong, Nguyen Minh, Dao Van Duong +3
Mathematics · Social Sciences · #Advanced Harmonic Analysis Research #Nonlinear Partial Differential Equations #Polish Historical and Cultural Studies #math.CA

paper · pdf · doi:10.48550/arxiv.1710.01299

arXiv admin note: text overlap with arXiv:1709.08185

arxiv created 2017/10/03 · arxiv updated 2017/10/05

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.

Citations

• On functions of bounded mean oscillation
• On commutators of singular integrals and bilinear singular integrals
• Multilinear Hausdorff operators on some function spaces with variable exponent

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