Test functions in constrained interpolation

Dritschel, Michael; Pickering, James

doi:10.1090/S0002-9947-2012-05515-2

Test functions in constrained interpolation
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by Michael A. Dritschel and James Pickering PDF

Trans. Amer. Math. Soc. 364 (2012), 5589-5604 Request permission

Abstract:

We give a set of test functions for $H_{1}^{\infty }$, the algebra of bounded holomorphic functions on the disk with first derivative equal to $0$, whose interpolation problem was studied by Davidson, Paulsen, Raghupathi and Singh (2009). We show that this set of test functions is minimal by relating these ideas to realization and interpolation problems.

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