Musaev, H. K.Shakhmurov, V. B.2024-05-252024-05-2520180041-59951573-937610.1007/s11253-018-1458-32-s2.0-85046818399https://doi.org/10.1007/s11253-018-1458-3https://hdl.handle.net/20.500.14517/347We study the properties of B-separability for elliptic convolution operators in weighted Besov spaces and establish sharp estimates for the resolvents of the convolution operators. As a result, it is shown that these operators are positive and, in addition, play the role of negative generators of analytic semigroups. Moreover, the maximal B-regularity properties are established for the Cauchy problem for a parabolic convolution equation. Finally, these results are applied to obtain the maximal regularity properties for anisotropic integrodifferential equations and a system of infinitely many convolution equations.eninfo:eu-repo/semantics/closedAccess[No Keyword Available]Article2