Operators on the Besov spaces of holomorphic functions on the unit ball in $\mathbb{C}^n$

In the present paper we consider the Toeplitz-$T^{\alpha}_{\bar{h}}$ and differentiation-$D^{\delta}$ operators on the Besov spaces $B_p(\beta)$ for all $0<p<\infty$. We show that $T^{\alpha}_{\bar{h}}:B_p(\beta)\rightarrow B_p(\beta)$ for $\bar{h}\in H^{\infty}(B^n)$ and $D^{\delta}:B_p(\beta)\rightarrow B_p(\tilde\beta)$ where $\widetilde\beta=\beta+p\delta$.