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Preprint · arXiv · June 3, 2021

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

Nurzhan Bokayev, Zhomart M. Onerbek

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.

Advanced Harmonic Analysis ResearchNonlinear Partial Differential EquationsMathematical Analysis and Transform Methodsvariable exponentHardy-Littlewood maximal operatorfractional maximal operator

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