Countably Semiadditive Functionals and the Hardy–Littlewood Maximal Operator

E. I. Berezhnoj, E. I. Smirnov


Abstract: We describe the continuity of nonlinear Hardy–Littlewood maximal operator in nonmetricable function space,  is a measurable subset of Rn with finite measure.


Hardy–Littlewood; Maximal function; Countably semiadditive; Inductive limit of Lebesgue spaces

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