Estimates of weighted Hardy-Littlewood averages on the p-adic vector space |
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| Authors: | Kyung Soo Rim |
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| Institution: | Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea |
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| Abstract: | In the p-adic vector space  , we characterize those non-negative functions ψ defined on  for which the weighted Hardy-Littlewood average  is bounded on  (1?r?∞), and on  . Also, in each case, we find the corresponding operator norm ‖Uψ‖. |
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| Keywords: | p-Adic field p-Adic vector space Weighted Hardy-Littlewood averages BMO |
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