On the Boundedness of the Maximal and Fractional Maximal, Potential Operators in the Global Morrey-Type Spaces with Variable Exponents

2021/06/03 by Nurzhan Bokayev, Bokayev, Nurzhan A., Zhomart M. Onerbek +1
Mathematics · #31B99 #31C99 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2106.02062

openalex publication_date 2021/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the global Morrey-type spaces with variable exponents and general function defining these spaces. In the case of unbounded sets, we prove boundedness of the Hardy-Littlewood maximal operator, potential type operator in these spaces.

Citations

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

Related

• Maximal, potential and singular operators in the local "complementary" variable exponent Morrey type spaces
• Maximal operator on variable exponent spaces
• Riesz type potential operators in generalized grand Morrey spaces
• Boundedness of the Hardy-Littlewood Maximal Operator, Fractional Integral Operators, and Calderon-Zygmund Operators on Generalized Weighted Morrey Spaces
• The Hardy-Littlewood Maximal Operator on Discrete Morrey Spaces