Complete Nevanlinna-Pick Property of Dirichlet-Type Spaces |
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Authors: | Serguei Shimorin |
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Institution: | Department of Mathematics, Lund University, Box 118, 221 00, Lund, Swedenf1E-mail: shimorin@maths.lth.sef1 |
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Abstract: | We prove that all Dirichlet-type spaces of functions analytic in the unit disk whose derivatives are square area integrable with superharmonic weights have complete Nevanlinna-Pick reproducing kernels. As a corollary, we obtain a commutant lifting theorem for cyclic analytic two-isometries. |
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Keywords: | complete Nevanlinna-Pick kernels Dirichlet-type spaces |
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