Closures of Harmonic Bergman Besov Spaces in the Weighted Harmonic Bloch Spaces on the Unit Ball
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914677692301312 |
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| author | Doğan, Ömer Faruk |
| author_facet | Doğan, Ömer Faruk |
| contents | In this paper, via invertible radial differential operators, we characterize the closures of the harmonic Bergman Besov Spaces in the weighted harmonic Bloch spaces on the unit ball of Rn in terms of natural level sets. To this end, we first show that the harmonic Bergman Besov space is contained in the weighted harmonic little Bloch space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08477 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Closures of Harmonic Bergman Besov Spaces in the Weighted Harmonic Bloch Spaces on the Unit Ball Doğan, Ömer Faruk Complex Variables In this paper, via invertible radial differential operators, we characterize the closures of the harmonic Bergman Besov Spaces in the weighted harmonic Bloch spaces on the unit ball of Rn in terms of natural level sets. To this end, we first show that the harmonic Bergman Besov space is contained in the weighted harmonic little Bloch space. |
| title | Closures of Harmonic Bergman Besov Spaces in the Weighted Harmonic Bloch Spaces on the Unit Ball |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2402.08477 |