Reproducing Kernels for Harmonic Besov Spaces on the Ball
| dc.contributor.author | Kaptanoglu, H. Turgay | |
| dc.contributor.author | Ureyen, A. Ersin | |
| dc.contributor.author | Gergun, Secil | |
| dc.date.accessioned | 2016-05-11T10:45:25Z | |
| dc.date.accessioned | 2025-09-18T12:04:32Z | |
| dc.date.available | 2016-05-11T10:45:25Z | |
| dc.date.available | 2025-09-18T12:04:32Z | |
| dc.date.issued | 2009 | |
| dc.description | Gergun, Secil/0000-0003-0952-3070; Ureyen, Adem Ersin/0000-0002-7009-3797; Kaptanoglu, H. Turgay/0000-0002-8795-4426 | en_US |
| dc.description.abstract | Besov spaces of harmonic functions on the unit ball of R '' are defined by requiring Sufficiently high-order derivatives of functions lie in harmonic Bergman spaces. We compute the reproducing kernels of those Besov spaces that are Hilbert spaces. The kernels turn out to be weighted infinite sums of zonal harmonics and natural radial fractional derivatives of the Poisson kernel. To cite this article: S. Gergun et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009). (C) 2009 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved. | en_US |
| dc.identifier.citation | Gergün, S., Kaptanoğlu, H.T., Üreyen, A.E. (2009). Reproducing kernels for harmonic Besov spaces on the ball. Comptes Rendus Mathematique, 347(13-14), 735-738. http://dx.doi.org/10.1016/j.crma.2009.04.016 | en_US |
| dc.identifier.doi | 10.1016/j.crma.2009.04.016 | |
| dc.identifier.issn | 1631-073X | |
| dc.identifier.issn | 1778-3569 | |
| dc.identifier.scopus | 2-s2.0-67349227201 | |
| dc.identifier.uri | https://doi.org/10.1016/j.crma.2009.04.016 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10375 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier France-editions Scientifiques Medicales Elsevier | en_US |
| dc.relation.ispartof | Comptes Rendus. Mathématique | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | Reproducing Kernels for Harmonic Besov Spaces on the Ball | en_US |
| dc.title | Reproducing kernels for harmonic Besov spaces on the ball | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Gergun, Secil/0000-0003-0952-3070 | |
| gdc.author.id | Ureyen, Adem Ersin/0000-0002-7009-3797 | |
| gdc.author.id | Kaptanoglu, H. Turgay/0000-0002-8795-4426 | |
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| gdc.author.wosid | Kaptanoglu, H./B-7098-2016 | |
| gdc.author.wosid | Üreyen, Adem Ersin/Abc-2802-2020 | |
| gdc.author.wosid | Gergün, Seçil/P-7550-2019 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Gergun, Secil] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Kaptanoglu, H. Turgay] Bilkent Univ, Dept Math, TR-06800 Ankara, Turkey; [Ureyen, A. Ersin] Anadolu Univ, Dept Math, TR-26470 Eskisehir, Turkey | en_US |
| gdc.description.endpage | 738 | en_US |
| gdc.description.issue | 13-14 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 735 | en_US |
| gdc.description.volume | 347 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Dirichlet | |
| gdc.oaire.keywords | Radial Differential Operator | |
| gdc.oaire.keywords | Spherical Harmonic | |
| gdc.oaire.keywords | Drury-arveson | |
| gdc.oaire.keywords | Radial differential operator | |
| gdc.oaire.keywords | Besov | |
| gdc.oaire.keywords | Hardy | |
| gdc.oaire.keywords | Bergman space | |
| gdc.oaire.keywords | Bergman Space | |
| gdc.oaire.keywords | Reproducing Kernel Hilbert Space | |
| gdc.oaire.keywords | Spherical harmonic | |
| gdc.oaire.keywords | Reproducing Kernel Hilbert space | |
| gdc.oaire.keywords | Integral representations, integral operators, integral equations methods in higher dimensions | |
| gdc.oaire.keywords | harmonic functions on the unit ball | |
| gdc.oaire.keywords | reproducing kernels | |
| gdc.oaire.keywords | Besov spaces | |
| gdc.oaire.keywords | Bergman spaces | |
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| gdc.virtual.author | Gergün, Seçil | |
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