Volterra operators between limits of Bergman-type weighted spaces of analytic functions

We characterize continuity and compactness of the Volterra integral operator $T_g$ with non-constant analytic symbol $g$ between certain weighted Fréchet or (LB)-spaces functions on open unit disc, which arise as projective (resp. inductive) limits intersections unions) Bergman spaces order $1<p<\infty$ induced by standard radial weight $(1-|z|^2)^\alpha$ for $0<\alpha<\infty$. Motivated from earlier results obtained weight, we also establish several concerning spectrum operators acting space $A^p_{\alpha+}$, (LB)-space $A^p_{\alpha-}$.