  Let $B_p(s)$ be an analytic Besov type space. Let $M(B_p(s))$ be the class of
multipliers of $B_p(s)$ and let $F(p, p-2, s)$ be the M\"obius invariant
subspace generated by $B_p(s)$. In this paper, when $0<s<1$ and $\max\{s,
1-s\}<p\leq 1$, we give a completed description of interpolating sequences for
$M(B_p(s))$ and $F(p, p-2, s)\cap H^\infty$. We also consider certain condition
appeared in this description by an $L^p$ characterization and the closure of
$F(p, p-2, s)$ in the Bloch space.
