Reproducing kernels and some associated extremal problems of analytic functions in the unit disc (Q2711322)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reproducing kernels and some associated extremal problems of analytic functions in the unit disc |
scientific article |
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12 February 2002
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weighted Hilbert spaces
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reproducing kernel
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0.93256325
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0.91384035
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0.9112717
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0.90432286
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0.90412265
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0.90023994
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Reproducing kernels and some associated extremal problems of analytic functions in the unit disc (English)
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This remarkable paper is devoted to the study of extremal properties of the reproducing kernel which is associated with a given weight function. It is used the classical approach of complete orthonormal systems in a weighted Hilbert space. In that way tensor product technique can be circumvented. This method is illustrated for two examples: Dirichlet kernel, Green's functions. A generalization of Szegö's theorem is lined out.
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