Approximation and uniqueness for \(\Delta_{\alpha,\beta}\)-harmonic functions (Q1587353)
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scientific article; zbMATH DE number 1533084
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation and uniqueness for \(\Delta_{\alpha,\beta}\)-harmonic functions |
scientific article; zbMATH DE number 1533084 |
Statements
Approximation and uniqueness for \(\Delta_{\alpha,\beta}\)-harmonic functions (English)
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26 April 2002
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The author considers the class of functions defined on the unit ball in \(\mathbb{C}^n\) that are harmonic with respect to a certain class of degenerate elliptic operators. He establishes some approximation and uniqueness results for these functions, thereby generalizing results obtained by \textit{J. Bruna} [Publ. Mat., Barc. 36, No. 2A, 421-426 (1992; Zbl 0781.31003)] and \textit{K. T. Hahn} [Complex Variables, Theory Appl. 21, 9-13 (1993; Zbl 0678.31005)] in the particular case of the Laplace-Beltrami operator of the Bergman metric.
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Laplace-Beltrami operator
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normal derivative
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Korány approach region
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positive harmonic function
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0.9166185
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0.9147432
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0.9072917
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0.9066287
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0.9060594
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0.9022509
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