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 A simple proof of the $p$-adic version of the Sobolev embedding theorem Commun. Korean Math. Soc. 2010 Vol. 25, No. 1, 27-36 https://doi.org/10.4134/CKMS.2010.25.1.27Printed March 1, 2010 Yong-Cheol Kim Korea University Abstract : We give a simple proof of certain mapping properties of the $p$-adic Riesz potential and Bessel potential, and the $p$-adic version of the Sobolev embedding theorem obtained in [6]. Keywords : $p$-adic vector space, the $p$-adic Riesz and Bessel potential, Sobolev embedding theorem MSC numbers : 11S80, 11K70, 11E95 Downloads: Full-text PDF

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