Weighted Banach spaces of harmonic functions (Q740692)
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scientific article; zbMATH DE number 6341647
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weighted Banach spaces of harmonic functions |
scientific article; zbMATH DE number 6341647 |
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Weighted Banach spaces of harmonic functions (English)
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9 September 2014
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The authors study Banach spaces of harmonic functions on open sets of \(\mathbb R^N\) or \(\mathbb C^N\) endowed with weighted supremum norms. The harmonic associated weight is introduced and investigated in these spaces, extending the work on the corresponding spaces of holomorphic functions due to \textit{K. D. Bierstedt} et al. [Stud. Math. 127, No. 2, 137--168 (1998; Zbl 0934.46027)]. They also characterize the boundedness and estimate the essential norm of a composition operator acting on weighted spaces of pluriharmonic functions.
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harmonic function
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harmonic associated weight
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composition operator
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Banach space
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