Real and Functional Analysis Mathematics Questions

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Could you explain how to show this step by step? It is related to real and functional analysis.

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We have seen that for f e Ll(R”) the Hardy-Littlewood maximal function
(Mf)(x)
=
supr>0 voldB,) Six-yl0 voldB,) Six-yl

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Mathematical Expression

Mathematical Values

Real and Functional Analysis

Maximal function

Finite volume

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