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1. Introduction It is known that spaces with parameters constructed on the base of the Sobolev isotropic spaces W(l) p (G), for some special values of indices, were first studied in the papers of Morrey [7, 8]. Further these results were developed and generalized in the papers of VP Il’in [3], I. Ross [16], Yu. V. Netrusov [15], A. Mazzucato [6], VS Guliyev [2], Y. Sawano [17], L. Tang and J. Xu [18] and [9-14]. The goal of this paper is to investigate differential properties of functions from the space with parameters of the form