Boundedness criterion for sublinear operators and commutators on generalized mixed Morrey spaces

2021/06/24 by Mingquan Wei, Wei, Mingquan
Mathematics · #42B20 #42B25 #42B35 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2106.12872

openalex publication_date 2021/06/24 · openalex created_date 2021/07/05 · openalex updated_date 2026/07/28

Abstract

In this paper, the author studies the boundedness for a large class of sublinear operator T_α, α∈[0,n) generated by Calderón-Zygmund operators (α=0) and generated by fractional integral operator (α>0) on generalized mixed Morrey spaces M^φ_q(\Bbb Rⁿ). Moreover, the boundeness for the commutators of T_α, α∈[0,n) on generalized mixed Morrey spaces M^φ_q(\Bbb Rⁿ) is also studied. As applications, we obtain the boundedness for Hardy-Littlewood maximal operator, Calderón-Zygmund singular integral operators, fractional integral operator, fractional maximal operator and their commutators on generalzied mixed Morrey spaces.

Citations

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

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