Carleson measures for Besov-Sobolev spaces with applications in the unit ball of $C^n$

Abstract

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 ${\mathbf{C}}^n$. As applications, we characterize the Riemann-Stieltjes operators and multipliers acting on $B_p^{\sigma }(B)$ spaces by means of Carleson measures for $B_p^{\sigma }(B)$.