Möbius-invariant harmonic function spaces on the unit disc
| buir.contributor.author | Kaptanoğlu, Hakkı Turgay | |
| buir.contributor.orcid | Kaptanoğlu, Hakkı Turgay|0000-0002-8795-4426 | |
| dc.citation.epage | 109 | en_US |
| dc.citation.issueNumber | 1 | en_US |
| dc.citation.spage | 85 | en_US |
| dc.citation.volumeNumber | 48 | en_US |
| dc.contributor.author | Kaptanoğlu, Hakkı Turgay | |
| dc.date.accessioned | 2023-02-17T11:43:11Z | |
| dc.date.available | 2023-02-17T11:43:11Z | |
| dc.date.issued | 2022-03 | |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | We investigate and identify Möbius-invariant harmonic function spaces on the unit disc. We derive their fundamental properties and establish connections among various topologies on them. We show that the harmonic Bloch space b∞ is the “maximal” and the Besov space b−21 is the minimal invariant complete seminormed space. There is only one invariant semi-Hilbert space and it is the harmonic Dirichlet space b−22. © 2021, Akadémiai Kiadó, Budapest. | en_US |
| dc.description.provenance | Submitted by Evrim Ergin (eergin@bilkent.edu.tr) on 2023-02-17T11:43:11Z No. of bitstreams: 1 Möbius-invariant_harmonic_function_spaces_on_the_unit_disc.pdf: 360773 bytes, checksum: 63e555005f621b5f4c169bf05c05d482 (MD5) | en |
| dc.description.provenance | Made available in DSpace on 2023-02-17T11:43:11Z (GMT). No. of bitstreams: 1 Möbius-invariant_harmonic_function_spaces_on_the_unit_disc.pdf: 360773 bytes, checksum: 63e555005f621b5f4c169bf05c05d482 (MD5) Previous issue date: 2022-03 | en |
| dc.identifier.doi | doi.org/10.1007/s10476-021-0110-x | en_US |
| dc.identifier.issn | 0133-3852 | |
| dc.identifier.uri | http://hdl.handle.net/11693/111513 | |
| dc.language.iso | English | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s10476-021-0110-x | en_US |
| dc.source.title | Analysis Mathematica | en_US |
| dc.subject | Harmonic Bergman - Besov space | en_US |
| dc.subject | Harmonic Bloch space | en_US |
| dc.subject | Möbius transformation | en_US |
| dc.subject | Möbius-invariant harmonic function space | en_US |
| dc.title | Möbius-invariant harmonic function spaces on the unit disc | en_US |
| dc.type | Article | en_US |
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