Meta-analytic functions with derivative not in a Hardy space
We show there exist solutions to higher-order Vekua equations that, along with their z̄-derivatives, have finite Hardy space norm, but their z-derivatives do not.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-06-01
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| Series: | Examples and Counterexamples |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666657X2500014X |
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| Summary: | We show there exist solutions to higher-order Vekua equations that, along with their z̄-derivatives, have finite Hardy space norm, but their z-derivatives do not. |
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| ISSN: | 2666-657X |