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Hausdorff operators defined by measures on p-adic linear spaces and their norms

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Abstract

For Hausdorff operator defined by a measure on p-adic linear space Q p n we give the exact values for its norms in power type Morrey space,BMO(Q p n) and BLO(Q p n). Also we prove the sharp two-sided estimate for its norm in Herz space. These results generalize some previous results of the author.

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Correspondence to S. S. Volosivets.

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Volosivets, S.S. Hausdorff operators defined by measures on p-adic linear spaces and their norms. P-Adic Num Ultrametr Anal Appl 7, 238–244 (2015). https://doi.org/10.1134/S2070046615030036

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