Geodesic
$p$-Adic BMO and VMO functions
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2011), pp. 90-92.

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Spaces of $p$-adic BMO and VMO functions are considered. It is proved that locally constant functions are dense in VMO space under BMO norm.
Keywords: $p$-adic analysis, BMO functions, VMO functions. 
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E. I. Zelenov. $p$-Adic BMO and VMO functions. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2011), pp. 90-92. http://geodesic.mathdoc.fr/item/VSGTU_2011_1_a10/

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