On Weights Which Admit Harmonic Bergman Kernel and Minimal Solutions of Laplace’s Equation
In this paper we consider spaces of weight square-integrable and harmonic functions L2H(Ω, µ). Weights µ for which there exists reproducing kernel of L2H(Ω, µ) are named ’admissible weights’ and such kernels are named ’harmonic Bergman kernels’. We prove that if only weight of integration is integra...
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| Format: | Article |
| Language: | English |
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Sciendo
2022-09-01
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| Series: | Annales Mathematicae Silesianae |
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| Online Access: | https://doi.org/10.2478/amsil-2022-0016 |