The Equivalence of BMOA and VMOA on the Unit Ball of C n

In this paper, we characterize BMOA and VMOA on the unit ball in terms of norms N p(f) = sup z∈B 1 σ(Q(z))∫ Q(z) |f(ξ)-f(z)| p d σ(ξ) 1p ,1≤ p <∞ and more general Garcia norms. Where Q(z)=Q(π(z),δ z)={ξ∈S,|1-〈π(z),ξ〉| 12 <δ z} . π(z)=e 1,z=0, z|z|,z≠0, δ z= 12 .