Article

Interpolating sequences for H^∞(B_H)

Published in: Quaestiones Mathematicae
Volume 39 , issue 6 , 2016 , pages: 785–795

DOI: 10.2989/16073606.2016.1161669

Author(s): Alejandro Miralles IMAC and Departament de Matemàtiques, Spain

Keywords: Primary 46E50 , Secondary 46G20 , Primary 46E50 , Secondary 46G20

Abstract

We prove that under the extended Carleson’s condition, a sequence (x_n) ⊂ B_H is linear interpolating for H^∞(B_H) 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.

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