On Approximation by Tight Wavelet Frames on the Field of \(p\)-Adic Numbers

We discuss the problem on approximation by tight wavelet frames on the field \(\mathbb{Q}_p\) of \(p\) -adic numbers. For tight frames in the field \(\mathbb{Q}p\) , constructed earlier by the authors, we obtain approximation estimates for functions from Sobolev spaces with logarithmic weight.