Interpolating sequences for some subsets of analytic Besov type spaces

Abstract

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 Möbius invariant subspace generated by $B_p(s)$. In this paper, when $0<s<1$ and $\max \{s,1-s\}<p\le 1$, 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.