Shakhmurov, V. B.2024-05-252024-05-252008230001-43461573-887610.1134/S00014346081102782-s2.0-59749091391https://doi.org/10.1134/S0001434608110278https://hdl.handle.net/20.500.14517/652We study embedding theorems for anisotropic spaces of Bessel-Lions type H-p,gamma(l) (Omega; E-0, E), where E-0 and E are Banach spaces. We obtain the most regular spaces Ea for which mixed differentiation operators D-alpha from H-p,gamma(l)(Omega; E-0, E) to L-p,L-gamma(Omega; E-alpha) are bounded. The spaces Ea are interpolation spaces between E-0 and E, depending on alpha = (alpha(1), alpha(2), . . . , alpha n) and l = (l(1), l(2), . . . , l(n)). The results obtained are applied to prove the separability of anisotropic differential operator equations with variable coefficients.eninfo:eu-repo/semantics/closedAccessembedding operatorHilbert spaceBanach-valued function spacedifferential operator equationoperator-valued Fourier multiplierinterpolation of Banach spacesprobability spaceUMD-spaceSobolev-Lions spaceArticleQ3845-6842858WOS:000262855600027