Hausdorff operators defined by measures on <Emphasis Type="Italic">p</Emphasis>-adic linear spaces and their norms

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.