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Interpolating sequences for H1(BH)


Alejandro Miralles

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


Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606