Weighted Lebesgue and central Morrey estimates for p-adic multilinear Hausdorff operators and its commutators

2018/10/16 by Nguyen Minh Chuong, Chuong, Nguyen Minh, Dao Van Duong +3
Mathematics · #Advanced Harmonic Analysis Research #Algebraic Geometry and Number Theory #FOS: Mathematics #Functional Analysis (math.FA) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1810.06896

openalex publication_date 2018/10/16 · openalex created_date 2018/10/26 · openalex updated_date 2026/07/28

Abstract

In this paper, we establish the sharp boundedness of p-adic multilinear Hausdorff operators on the product of Lebesgue and central Morrey spaces associated with both power weights and Muckenhoupt weights. Moreover, the boundedness for the commutators of p-adic multilinear Hausdorff operators on the such spaces with symbols in central BMO space is also obtained.

Citations

• On the solutions of quasi-linear elliptic partial differential equations

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