Boundedness of maximal operators on Herz spaces with radial variable exponent (Q2223772)

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Boundedness of maximal operators on Herz spaces with radial variable exponent
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    Boundedness of maximal operators on Herz spaces with radial variable exponent (English)
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    1 February 2021
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    The authors have proved that the maximal operator in a Herz space with radial variable exponent is bounded. The concept of log-Hölder continuity and the boundedness of Hardy-Littlewood maximal operator are used. As a special case, boundedness of the maximal operator in weighted Lebesgue spaces with radial exponent is shown. The proofs are original.
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    Hardy-Littlewood maximal function
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    radial variable exponent
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    Herz space
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