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

Published 3 Jun 2021 in math.FA and math.DG | (2106.02062v1)

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.

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