  This paper is devoted to give the connections between Carleson measures for
Besov-Sobolev spaces $B_p^\sigma (B)$ and $p$-Carleson measure in the unit ball
of ${\bf C}^n$. As applications, we characterize the Riemann-Stieltjes
operators and multipliers acting on $B_p^\sigma (B)$ spaces by means of
Carleson measures for $B_p^\sigma (B)$.
