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Properties of the maximal function of a measure \(\nu\) with respect to a measure \(\mu\) - MaRDI portal

Properties of the maximal function of a measure \(\nu\) with respect to a measure \(\mu\) (Q1822293)

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scientific article; zbMATH DE number 4002758
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Properties of the maximal function of a measure \(\nu\) with respect to a measure \(\mu\)
scientific article; zbMATH DE number 4002758

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    Properties of the maximal function of a measure \(\nu\) with respect to a measure \(\mu\) (English)
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    1986
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    The author proves the weak-type inequalities for the maximal functions of a measure \(\nu\) with respect to a measure \(\mu\), a generalization of the classical Hardy-Littlewood maximal function. Some conditions for the measure \(\nu\) are given in order to be absolutely continuous (singular) relative to the measure \(\mu\).
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    Hardy-Littlewood maximal function
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