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.