Luzin-type approximation of functions from the Sobolev classes on the space of p-adic vectors
In this article we consider an analog of the Luzin theorem on correction for Sobolev-type spaces on the space of p-adic vectors. The correcting function belongs to the Holder class and approximates a given function in the metrics of the initial space. Dimensions of exceptional sets are evaluated in terms of the Hausdorff capacities and volumes.