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.