Exponential inequality for holomorphic functions with finite Dirichlet integrals (Q1098964)
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scientific article; zbMATH DE number 4038158
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exponential inequality for holomorphic functions with finite Dirichlet integrals |
scientific article; zbMATH DE number 4038158 |
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Exponential inequality for holomorphic functions with finite Dirichlet integrals (English)
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1989
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A sharp inequality of exponential type for holomorphic functions with finite Dirichlet integrals on simply connected domains is established. This is accomplished by studying the functional Hilbert space of holomorphic functions with finite Dirichlet integrals on the domain \(\Omega\), and normalized by a ``zero curvature-mean'' on the boundary \(\partial \Omega\).
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Dirichlet integrals
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functional Hilbert space
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curvature
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0.9447109
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0.9128432
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0.9128432
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0.9124979
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