Kelvin-Möbius-invariant harmonic function spaces on the real unit ball
| buir.contributor.author | Kaptanoğlu, Hakkı Turgay | |
| buir.contributor.orcid | Kaptanoğlu, Hakkı Turgay|0000-0002-8795-4426 | |
| dc.citation.epage | 23 | en_US |
| dc.citation.issueNumber | 1 | en_US |
| dc.citation.spage | 1 | en_US |
| dc.citation.volumeNumber | 503 | en_US |
| dc.contributor.author | Kaptanoğlu, Hakkı Turgay | |
| dc.contributor.author | Üreyen, A. E. | |
| dc.date.accessioned | 2022-02-21T10:26:10Z | |
| dc.date.available | 2022-02-21T10:26:10Z | |
| dc.date.issued | 2021-05-07 | |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | We define the Kelvin-Möbius transform of a function harmonic on the unit ball of Rn and determine harmonic function spaces that are invariant under this transform. When n ≥ 3, in the category of Banach spaces, the minimal Kelvin-Möbius-invariant space is the Bergman-Besov space b1−(1+n/2) and the maximal invariant space is the Bloch space b∞(n−2)/2. There exists a unique strictly Kelvin-Möbius-invariant Hilbert space, and it is the Bergman-Besov space b2−2. There is a unique Kelvin-Möbius invariant Hardy space. | en_US |
| dc.embargo.release | 2023-05-07 | |
| dc.identifier.doi | 10.1016/j.jmaa.2021.125298 | en_US |
| dc.identifier.eissn | 1096-0813 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.uri | http://hdl.handle.net/11693/77536 | |
| dc.language.iso | English | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.isversionof | https://doi.org/10.1016/j.jmaa.2021.125298 | en_US |
| dc.source.title | Journal of Mathematical Analysis and Applications | en_US |
| dc.subject | Kelvin-Möbius transform | en_US |
| dc.subject | Kelvin-Möbius-invariant space | en_US |
| dc.subject | Harmonic Bergman-Besov space | en_US |
| dc.subject | Weighted harmonic Bloch space | en_US |
| dc.subject | Atomic decomposition | en_US |
| dc.subject | Complex interpolation | en_US |
| dc.title | Kelvin-Möbius-invariant harmonic function spaces on the real unit ball | en_US |
| dc.type | Article | en_US |
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