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http://hdl.handle.net/11375/6531
Title: | Holder's Inequality in Spaces of Measurable Functions |
Authors: | Giles, Sidney John |
Advisor: | Bennett, C. |
Department: | Mathematics |
Keywords: | Mathematics;Mathematics |
Publication Date: | Nov-1980 |
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> |
URI: | http://hdl.handle.net/11375/6531 |
Identifier: | opendissertations/184 1430 907775 |
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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