dc.contributor.author | Doğan, Ömer Faruk | |
dc.date.accessioned | 2023-05-06T17:20:49Z | |
dc.date.available | 2023-05-06T17:20:49Z | |
dc.date.issued | 2022 | |
dc.identifier.issn | 0354-5180 | |
dc.identifier.uri | https://doi.org/10.2298/FIL2213293D | |
dc.identifier.uri | https://hdl.handle.net/20.500.11776/11968 | |
dc.description.abstract | We provide a full characterization in terms of the six parameters involved the boundedness of all standard weighted integral operators induced by harmonic Bergman-Besov kernels acting between different Lebesgue classes with standard weights on the unit ball of R-n. These operators in some sense generalize the harmonic Bergman-Besov projections. To obtain the necessity conditions, we use a technique that heavily depends on the precise inclusion relations between harmonic Bergman-Besov and weighted Bloch spaces on the unit ball. This fruitful technique is new. It has been used first with holomorphic Bergman-Besov kernels by Kaptanoglu and Ureyen. Methods of the sufficiency proofs we employ are Schur tests or Holder or Minkowski type inequalities which also make use of estimates of Forelli-Rudin type integrals. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Univ Nis, Fac Sci Math | en_US |
dc.identifier.doi | 10.2298/FIL2213293D | |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Integral operator | en_US |
dc.subject | Harmonic Bergman-Besov kernel | en_US |
dc.subject | Harmonic Bergman-Besov space | en_US |
dc.subject | Weighted harmonic Bloch space | en_US |
dc.subject | Harmonic Bergman-Besov projection | en_US |
dc.subject | Schur test | en_US |
dc.subject | Forelli-Rudin estimate | en_US |
dc.subject | Inclusion relation | en_US |
dc.subject | Unit Ball | en_US |
dc.subject | Weighted Bloch | en_US |
dc.subject | Spaces | en_US |
dc.subject | Projections | en_US |
dc.title | A Class of Integral Operators Induced by Harmonic Bergman-Besov Kernels on Lebesgue Classes | en_US |
dc.type | article | en_US |
dc.relation.ispartof | Filomat | en_US |
dc.department | Fakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.authorid | DOGAN, OMER FARUK/0000-0002-0168-1456 | |
dc.identifier.volume | 36 | en_US |
dc.identifier.issue | 13 | en_US |
dc.identifier.startpage | 4293 | en_US |
dc.identifier.endpage | 4317 | en_US |
dc.institutionauthor | Doğan, Ömer Faruk | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.wos | WOS:000921128600002 | en_US |
dc.identifier.scopus | 2-s2.0-85146271760 | en_US |