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http://hdl.handle.net/11375/6531
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DC Field | Value | Language |
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dc.contributor.advisor | Bennett, C. | en_US |
dc.contributor.author | Giles, Sidney John | en_US |
dc.date.accessioned | 2014-06-18T16:35:55Z | - |
dc.date.available | 2014-06-18T16:35:55Z | - |
dc.date.created | 2009-07-22 | en_US |
dc.date.issued | 1980-11 | en_US |
dc.identifier.other | opendissertations/184 | en_US |
dc.identifier.other | 1430 | en_US |
dc.identifier.other | 907775 | en_US |
dc.identifier.uri | http://hdl.handle.net/11375/6531 | - |
dc.description.abstract | <p>This thesis gives a historical account of the development of the theory of spaces of measurable functions. The study will be mainly centred around Holder's inequality and its many generalizations.</p> <p>We present a formal axiomatization of the theory including a general form of Holder's inequality. Then we consider various families of spaces of measurable functions, namely the Orlicz spaces and the Lorentz spaces, both of which include the familiar LP-species. In each of these special cases, Holder's inequality is interesting in its own right. As a particular example, the space Llog⁺L and its conjugate, the exponential space, are studied in detail as they are examples of both an Orlicz space and a Lorentz space.</p> | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Mathematics | en_US |
dc.title | Holder's Inequality in Spaces of Measurable Functions | en_US |
dc.type | thesis | en_US |
dc.contributor.department | Mathematics | en_US |
dc.description.degree | Master of Science (MS) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Size | Format | |
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fulltext.pdf | 1.74 MB | Adobe PDF | View/Open |
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