Let H∞(Dn) denote the set of all bounded analytic functions defined on the polydisc Dn of Cn. In this note, we give a sufficient condition for sequences of points in Dn to be interpolating sequences for H∞ (Dn). We also discuss some conditions for interpolation of general domains.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Carleson measure
- Gleason distance. The research of the second and third authors was supported in part by NSF grants
- Interpolating sequences