A Class of Integral Operators Induced by Harmonic Bergman-Besov Kernels on Lebesgue Classes

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dc.authoridDOGAN, OMER FARUK/0000-0002-0168-1456
dc.contributor.authorDoğan, Ömer Faruk
dc.date.accessioned2023-05-06T17:20:49Z
dc.date.available2023-05-06T17:20:49Z
dc.date.issued2022
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractWe 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.
dc.identifier.doi10.2298/FIL2213293D
dc.identifier.endpage4317
dc.identifier.issn0354-5180
dc.identifier.issue13en_US
dc.identifier.scopus2-s2.0-85146271760
dc.identifier.scopusqualityQ3
dc.identifier.startpage4293
dc.identifier.urihttps://doi.org/10.2298/FIL2213293D
dc.identifier.urihttps://hdl.handle.net/20.500.11776/11968
dc.identifier.volume36
dc.identifier.wosWOS:000921128600002
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorDoğan, Ömer Faruk
dc.language.isoen
dc.publisherUniv Nis, Fac Sci Math
dc.relation.ispartofFilomat
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectIntegral operator
dc.subjectHarmonic Bergman-Besov kernel
dc.subjectHarmonic Bergman-Besov space
dc.subjectWeighted harmonic Bloch space
dc.subjectHarmonic Bergman-Besov projection
dc.subjectSchur test
dc.subjectForelli-Rudin estimate
dc.subjectInclusion relation
dc.subjectUnit Ball
dc.subjectWeighted Bloch
dc.subjectSpaces
dc.subjectProjections
dc.titleA Class of Integral Operators Induced by Harmonic Bergman-Besov Kernels on Lebesgue Classes
dc.typeArticle

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