Correction

In my article (A. Kh. Gudiev, “An embedding theorem for the trace in abstract functions”), published in DAN, vol. 147, no. 4, 1962, in the definition of the spaces \(L_{(p_1,p_2)}(\Omega)\) the integral should be taken not over the set \(S_{n-s}\cap(\Omega)\), but over the projection of \(\Omega\) onto \(S_{n-s}\).

Similarly, in my article (A. Kh. Gudiev, “The classes \(L_{(p_1,p_2,\ldots,p_k)}(\Omega_m)\) and an embedding theorem for abstract set functions”), published in DAN, vol. 149, no. 2, 1963, \(\Omega_{s_j}\) for \(j\geq 2\) is not \(R^{s_j}\cap\Omega_m\), but the projection of \(\Omega_m\) onto \(R^{s_j}\).

A. Kh. Gudiev