dc.contributor.advisor Kaptanoğlu, Hakkı Turgay dc.contributor.author Bavaş, Berk dc.date.accessioned 2018-07-27T13:32:53Z dc.date.available 2018-07-27T13:32:53Z dc.date.copyright 2018-07 dc.date.issued 2018-07 dc.date.submitted 2018-07-27 dc.identifier.uri http://hdl.handle.net/11693/47689 dc.description Cataloged from PDF version of article. en_US dc.description Thesis (M.S.): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2018. en_US dc.description Includes bibliographical references (leaves 82-83). en_US dc.description.abstract We survey some known results on the zero sets of two families of analytic function en_US 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. dc.description.statementofresponsibility by Berk Bavaş. en_US dc.format.extent vi, 83 leaves ; 30 cm. en_US dc.language.iso English en_US dc.rights info:eu-repo/semantics/openAccess en_US dc.subject Zero Set en_US dc.subject Hardy Space en_US dc.subject Bergman Space en_US dc.subject Dirichlet Space en_US dc.subject Dirichlet-Type Space en_US dc.subject Blaschke Condition en_US dc.title Zero sets of analytic function spaces on the unit disk en_US dc.title.alternative Birim dairedeki analitik fonksiyon uzaylarının sıfır kümeleri en_US dc.type Thesis en_US dc.department Department of Mathematics en_US dc.publisher Bilkent University en_US dc.description.degree M.S. en_US dc.identifier.itemid B158740
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