Topics in Littlewood-Paley theory and BMO

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Topics in Littlewood-Paley theory and BMO

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/15980

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dc.contributor.advisor Grafakos, Loukas en_US
dc.contributor.author Thompson, Brian
dc.contributor.other University of Missouri-Columbia. Graduate School. Theses and Dissertations. Theses. 2012 Theses en_US
dc.date.accessioned 2012-11-05T19:45:36Z
dc.date.available 2012-11-05T19:45:36Z
dc.date.issued 2012
dc.date.submitted 2012 Summer en_US
dc.identifier.other ThompsonB-062012-T496
dc.identifier.uri http://hdl.handle.net/10355/15980
dc.description Title from PDF of title page (University of Missouri--Columbia, viewed on November 5,2012). en_US
dc.description The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file. en_US
dc.description Thesis advisor: Dr. Loukas Grafakos en_US
dc.description Includes bibliographical references. en_US
dc.description M.A. University of Missouri--Columbia 2012. en_US
dc.description Dissertations, Academic -- University of Missouri--Columbia -- Mathematics. en_US
dc.description "July 2012" en_US
dc.description.abstract In this thesis we discuss some important results in Littlewood-Paley theory and the space of Bounded-Mean Oscillation functions, henceforth called BMO. Littlewood-Paley Theory has its roots in the Littlewood-Paley Theorem, which is essentially an extension of Plancherel's identity for higher order Lebesgue spaces. The most fundamental results in Littlewood-Paley theory are presented in this thesis, as well as applications in the theory of multipliers and PDEs. The space BMO consists of locally integrable functions whose oscillation is controlled in the mean sense. Some non-trivial facts about this space are shown in this work, as well as some applications in measure theory. en_US
dc.format.extent iv, 80 pages en_US
dc.language.iso en_US en_US
dc.publisher University of Missouri--Columbia en_US
dc.relation.isformatof 2012 UM restricted theses (MU) en_US
dc.rights Access is limited to the campuses of the University of Missouri. en_US
dc.subject bounded-mean oscillation functions en_US
dc.subject Plancherel's identity en_US
dc.subject Lebesgue spaces en_US
dc.subject locally integrable functions en_US
dc.subject mean space en_US
dc.title Topics in Littlewood-Paley theory and BMO en_US
dc.type Thesis en_US
thesis.degree.discipline Mathematics en_US
thesis.degree.grantor University of Missouri--Columbia en_US
thesis.degree.name M. A. en_US
thesis.degree.level Masters en_US


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