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 On boundedness for complex valued functions on the $p$-adic vector space Commun. Korean Math. Soc. 2006 Vol. 21, No. 4, 631-640 Printed December 1, 2006 Min-Soo Kim, Jin-Woo Son Kyungnam University, Kyungnam University Abstract : In this paper, we prove sufficient conditions of bound\-ed\-ness of maximal operators on the $p$-adic vector space. We also consider weighted Hardy-Littlewood averages on the $p$-adic vector space. Keywords : Hardy-Littlewood averages, $p$-adic numbers MSC numbers : 1.10E+96 Downloads: Full-text PDF

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