Interpolation properties of $\varepsilon$-entropy and diameters. Geometric characteristics of imbedding for function spaces of Sobolev–Besov type

In the paper the following problems are considered: 1) behavior of the geometric characteristics of compact operators on interpolation of abstract Banach spaces ($\varepsilon$-entropy, Kolmogorov and Gel'fand diameters); 2) evaluation or estimation of the order of $\varepsilon$-entropy and diameters for the unit ball of a function space of Sobolev–Besov type as a compact set in another function space of that type. The spaces under examination are nonweighted anisotropic spaces as well as nonweighted and weighted isotropic spaces.
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