NEJEDNAKOSTI IZOPERIMETRIJSKOG TIPA U PROSTORIMA ANALITIČKIH FUNKCIJA

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NEJEDNAKOSTI IZOPERIMETRIJSKOG TIPA U PROSTORIMA ANALITIČKIH FUNKCIJA

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dc.contributor.advisor Mateljević, Miodrag
dc.contributor.author Marković, Marijan
dc.date.accessioned 2013-05-08T10:10:41Z
dc.date.available 2013-05-08T10:10:41Z
dc.date.issued 2013
dc.identifier.uri http://hdl.handle.net/123456789/2586
dc.description.abstract This work consists of three chapters. The first one contains some well known facts about Hardy classes of harmonic, analytic, and logarithmically subharmonic functions in the unit disk, as well as their applications. Then we briefly talk about the harmonic and minimal surfaces, the classical isoperimetric inequality, and the more recent results related to this inequality. One of the most elegant way to establish the isoperimetric inequality is via Carleman’s inequality for analytic functions in disks. In the second chapter we present the results from our recent work [29] for harmonic mappings of a disc onto a Jordan surface. In this chapter we establish the versions of classical theorems of Carath´eodory and Smirnov for mappings of the previous type. At the end of the head we apply these results to prove the isoperimetric inequality for Jordan harmonic surfaces bounded by rectifiable curves. In the third chapter, according to the author paper [35], we prove an inequality of the isoperimetric type, similar to Carleman’s, for functions of several variables. The first version of this inequality is for analytic functions in a Reinhardt domain. The second one concerns the functions that belong to Hardy spaces in polydiscs. en_US
dc.description.provenance Submitted by Slavisha Milisavljevic (slavisha) on 2013-05-08T10:10:41Z No. of bitstreams: 1 Markovic_Marijan.pdf: 709387 bytes, checksum: ff0306c12be550f55e2478c3b016585b (MD5) en
dc.description.provenance Made available in DSpace on 2013-05-08T10:10:41Z (GMT). No. of bitstreams: 1 Markovic_Marijan.pdf: 709387 bytes, checksum: ff0306c12be550f55e2478c3b016585b (MD5) Previous issue date: 2013 en
dc.format.mimetype PDF en_US
dc.language.iso sr en_US
dc.publisher Belgrade en_US
dc.title NEJEDNAKOSTI IZOPERIMETRIJSKOG TIPA U PROSTORIMA ANALITIČKIH FUNKCIJA en_US
mf.author.birth-date 1982-04-21
mf.author.birth-place Kotor en_US
mf.author.birth-country Monte Negro en_US
mf.author.residence-state Monte Negro en_US
mf.author.citizenship Monte Negro en_US
mf.author.nationality Serbian en_US
mf.subject.area Mathematics en_US
mf.subject.keywords The Isoperimetric Inequality, Hardy Spaces, Bergman spaces, harmonic mappings en_US
mf.subject.subarea Analitical function en_US
mf.contributor.committee Kalaj, David
mf.university.faculty Mathematical en_US
mf.document.references 60 en_US
mf.document.pages 81 en_US
mf.document.location Belgrade en_US
mf.document.genealogy-project No en_US
mf.university Belgrade en_US

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