E. I. Zelenov, “<nobr>$p$</nobr>-Adic BMO and VMO functions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011, Issue 1(22),Pages <nobr>90

This article is cited in 1 paper

Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Mathematical Physics

$p$-Adic BMO and VMO functions

E. I. Zelenov

Dept. of Mathematical Physics, Steklov Mathematical Institute, Russian Academy of Sciences, Moscow

Abstract: 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.

UDC: 517.98

MSC: 11E95, 46E99

Original article submitted 12/I/2011
revision submitted – 12/III/2011

DOI: 10.14498/vsgtu933