On some equivalent definitions of rho-Carleson measures on the unit ball

We give here some equivalent definitions of the so-called rho-Carleson measures when rho(t) = (log(4/t))(p) (log log(e(4)/t))(q), 0 <= p, q < infinity. As applications, we characterize the pointwise multipliers on LMOA(S-n) and from this space to BMOA(S-n). Boundedness of the Cesaro type integral operators on LMOA(S-n) and from LMOA(S-n) to BMOA(S-n) is considered as well.