Integral operators and Carleson measures for Möbius invariant Besov spaces

We investigate an integral operator \(T_{t,\lambda}\) $T_{t,\lambda }$ which preservesthe Carleson measure for the Möbius invariant Besov space \(B_p\) $B_p$ on the unit ball of \(\mathbb{C}^{n}\) ${\mathbb{C}}^n$ . A holomorphic function space \(W_\beta^p\) $W_{\beta }^p$ , associated with the Carleson measure for \(B_p\) $B_p$ , is introduced. As applications for the operator \(T_{t,\lambda}\) $T_{t,\lambda }$ , we estimate the distance from Bloch-type functions to the space \(W_\beta^p\) $W_{\beta }^p$ , which extends Jones' formula. Moreover, the bounded small Hankel operators on \(B_p\) $B_p$ and the atomic decomposition of \(W_\beta^p\) $W_{\beta }^p$ are characterized.