Suppose that $mu$ is a finite positive Borel measure on bounded symmetric domain $Omega{subset}mathbb{C}^n;and; u$ is the Euclidean volume measure such that $ u(Omega)=1$. Suppose 1 < p < $infty$ and r > 0. In this paper, we will show that the norms $sup{int_Omega{mid}k_z(w)mid^2dmu(w);:;zinOmega}$, $sup{int_Omega{mid}h(w)mid^pdmu(w)/int_Omega{mid}h(w)^pd u(w);:;h{in}L_a^p(Omega,d u),;h eq0}$ and $$sup{frac{mu(E(z,r))}{ u(E(z,r))};:;zinOmega}$$ are are all equivalent. We will also show that the inclusion mapping $ip;:;L_a^p(Omega,d u){ ightarrow}L^p(Omega,dmu)$ is compact if and only if lim $w ightarrowpartialOmegafrac{mu(E(w,r))}{ u(E(w,r))}=0$.