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

E. V. Gubkina; K. V. Zabello; M. A. Prokhorovich; Ya. M. Radyna

Geodesic

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

E. V. Gubkina ; K. V. Zabello ; M. A. Prokhorovich ; Ya. M. Radyna

Problemy fiziki, matematiki i tehniki, no. 2 (2013), pp. 58-65

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Résumé

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, Luzin approximation.
Mots-clés : Sobolev spaces

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     author = {E. V. Gubkina and K. V. Zabello and M. A. Prokhorovich and Ya. M. Radyna},
     title = {The {Luzin} approximation of functions from sobolev classes on the space of~a~multidimensional $p$-adic argument},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {58--65},
     publisher = {mathdoc},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2013_2_a8/}
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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 $p$-adic argument. Problemy fiziki, matematiki i tehniki, no. 2 (2013), pp. 58-65. http://geodesic.mathdoc.fr/item/PFMT_2013_2_a8/