UTAPANJA PROSTORA HARMONIJSKIH FUNKCIJA SA MEŠOVITOM NORMOM U OGRANIČENIM OBLASTIMA U Rn

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UTAPANJA PROSTORA HARMONIJSKIH FUNKCIJA SA MEŠOVITOM NORMOM U OGRANIČENIM OBLASTIMA U Rn

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dc.contributor.advisor Arsenović, Miloš
dc.contributor.author Jovanović Spasojević, Tanja
dc.date.accessioned 2022-05-30T13:00:15Z
dc.date.available 2022-05-30T13:00:15Z
dc.date.issued 2022-05
dc.identifier.uri http://hdl.handle.net/123456789/5378
dc.description.abstract In this thesis, subjects of consideration are the embeddings theorems of weighted Bergman spaces in Lp-spaces, as well as embeddings theorems of harmonic mixed norm spaces. The first part of the thesis generalizes the theorems of embeddings Bergman spaces into Lp(μ)-spaces, where μ is a Borel measure on a given domain. They have been earlier studied on domains such as unit ball and upper half-space. Generalization refers to bounded domains Ω ⊂ Rn with C1 boundary. This embedding will be valid to any p > 0, whenever the measure of the spaces Lp satisfies the Carledon condition. Reverse the direction will be valid only in case if p > 1 + α+2 n−2 . The second part of the dissertation also generalizes the embeddings theorems of mixed norm spaces of harmonic functions on a unit ball, where the generalization is applied to the domain Ω ⊂ Rn with C1 boundary. However, in addition we are obtaining another important result relating to the limitation of the maximum operators in the mixed norm on the general domain for the class of QNS functions. en_US
dc.description.provenance Submitted by Slavisha Milisavljevic (slavisha) on 2022-05-30T13:00:15Z No. of bitstreams: 1 Jovanovic_Spasojevic_Tanja.pdf: 1643003 bytes, checksum: 420407d32426a05d75bba3d501bb6eba (MD5) en
dc.description.provenance Made available in DSpace on 2022-05-30T13:00:15Z (GMT). No. of bitstreams: 1 Jovanovic_Spasojevic_Tanja.pdf: 1643003 bytes, checksum: 420407d32426a05d75bba3d501bb6eba (MD5) Previous issue date: 2022-05 en
dc.language.iso sr en_US
dc.publisher Beograd en_US
dc.title UTAPANJA PROSTORA HARMONIJSKIH FUNKCIJA SA MEŠOVITOM NORMOM U OGRANIČENIM OBLASTIMA U Rn en_US
mf.subject.area Mathematical analysis en_US
mf.subject.keywords harmonic function, Hardy spaces, Bergman spaces, Mixed norm spaces en_US
mf.subject.subarea Harmonic analysis en_US
mf.contributor.committee Mateljević, Miodrag
mf.contributor.committee Mihić, Olivera
mf.university.faculty Mathematical faculty en_US
mf.document.references 104 en_US
mf.document.pages 66 en_US
mf.document.location Beograd en_US
mf.document.genealogy-project No en_US
mf.university Belgrade University en_US

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