On interpolating sequences for Bloch type spaces

Abstract

When we deal with $H^{\infty}$, it is known that $c_0-$interpolating sequences are interpolating and it is sufficient to interpolate idempotents of $\ell_\infty$ in order to interpolate the whole $\ell_\infty$. We will extend these results to the frame of interpolating sequences for Bloch type spaces $\mathcal{B}_{v}^\infty$ and study the connection between the interpolating operators on $\mathcal{B}_{v}^\infty$ and $\mathcal{B}_v^0$. Furthermore, for some particular weights $v$, we will provide examples of interpolating sequences for $\mathcal{B}_{v}^\infty$ whose constant of separation is as close to 0 as desired.