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dc.contributor.advisorKaptanoğlu, Hakkı Turgay
dc.contributor.authorBavaş, Berk
dc.date.accessioned2018-07-27T13:32:53Z
dc.date.available2018-07-27T13:32:53Z
dc.date.copyright2018-07
dc.date.issued2018-07
dc.date.submitted2018-07-27
dc.identifier.urihttp://hdl.handle.net/11693/47689
dc.descriptionCataloged from PDF version of article.en_US
dc.descriptionThesis (M.S.): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2018.en_US
dc.descriptionIncludes bibliographical references (leaves 82-83).en_US
dc.description.abstractWe survey some known results on the zero sets of two families of analytic function spaces and another single space de ned on the unit disk in the complex plane. We investigate mostly the basic properties of the zero sets of these spaces that are comparable to those of the Hardy spaces and to each other. The spaces we consider are standard weighted Bergman spaces, the Dirichlet space, and certain Dirichlet-type spaces that are very close to both Hardy spaces and the Bergman spaces. The completely known zero sets of Hardy spaces are easy to describe, characterized by the Blaschke condition and the same for all the spaces in the family. The zero sets of the other spaces considered have started to be investigated relatively recently and are far from a complete description. Yet it is possible to nd conditions similar to the Blaschke condition for the zero sets of Bergman spaces and Dirichlet-type spaces. For the zero sets of the true Dirichlet space, the known results are sporadic and do not form a general theory yet.en_US
dc.description.statementofresponsibilityby Berk Bavaş.en_US
dc.format.extentvi, 83 leaves ; 30 cm.en_US
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectZero Seten_US
dc.subjectHardy Spaceen_US
dc.subjectBergman Spaceen_US
dc.subjectDirichlet Spaceen_US
dc.subjectDirichlet-Type Spaceen_US
dc.subjectBlaschke Conditionen_US
dc.titleZero sets of analytic function spaces on the unit disken_US
dc.title.alternativeBirim dairedeki analitik fonksiyon uzaylarının sıfır kümelerien_US
dc.typeThesisen_US
dc.departmentDepartment of Mathematicsen_US
dc.publisherBilkent Universityen_US
dc.description.degreeM.S.en_US
dc.identifier.itemidB158740


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