This paper contains results concerning superreflective Besov spaces. Namely, expressions for convexity moduli and smoothness moduli with respect to the “canonical” norms are derived, and properties related to the finite representability of Banach spaces and linear compact operators in Besov spaces are examined. Additionally, inequalities of the Prus–Smarzewski type for arbitrary equivalent norms and inequalities of the James–Gurariy type are presented. Based on the latter, two-sided estimates for the norms of elements in Besov spaces can be obtained in terms of the expansion coefficients of these elements in unconditional normalized Schauder bases.