Main Article Content
Interpolating sequences for <i>H<sub>1</sub><sup>∞</sup>(B<sub>H</sub></i>)
Abstract
We prove that under the extended Carleson's condition, a sequence (xn) ⊂ BH is linear interpolating for H∞(BH) for an infinite dimensional Hilbert space H. In particular, we construct the interpolating functions for each sequence and find a bound for the constant of interpolation.
Keywords: Infinite dimensional holomorphy, interpolating sequences, spaces of analytic functions, Hilbert spaces
