E. V. Gubkina, K. V. Zabello, M. A. Prokhorovich, Ya. M. Radyna, “The Luzin approximation of functions from sobolev classes on the space of a multidimensional <nobr>$p$</nobr>-adic argument”, PFMT, 2013, Issue 2(15),Pages <nobr>58

This article is cited in 2 papers

MATHEMATICS

The Luzin approximation of functions from sobolev classes on the space of a multidimensional $p$-adic argument

E. V. Gubkina^a, K. V. Zabello^b, M. A. Prokhorovich^b, Ya. M. Radyna^b

^a Gorno-Altaisk State University, Gorno-Altaisk, Russia
^b Belarusian State University, Minsk, Belarus

Abstract: In this paper we will prove an analog of the Luzin theorem on correction for spaces of Sobolev type over $p$-adic vectors. The results were announced in «Doklady of the National Academy of Sciences of Belarus».

Keywords: space of $p$-adic vectors, Sobolev spaces, Luzin approximation.

UDC: 517.5

Received: 30.03.2013