Some properties of anisotropic Calderón–Zygmund classes

The article introduces the function classes $T_{a_s,\varkappa}^{p,\lambda}(G)$ and $t_{a_s,\varkappa}^{p,\lambda}(G)$ which are analogues of the classes $T_u^p(x_0)$ and $t_u^p(x_0)$ of Calderón and Zygmund [1], [2] for the anisotropic case.
Some properties of functions in these classes are studied.