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http://hdl.handle.net/11375/11732
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DC Field | Value | Language |
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dc.contributor.advisor | Heinig, Doctor H.P. | en_US |
dc.contributor.author | Bradley, Scott John | en_US |
dc.date.accessioned | 2014-06-18T16:56:24Z | - |
dc.date.available | 2014-06-18T16:56:24Z | - |
dc.date.created | 2009-12-14 | en_US |
dc.date.issued | 1979 | en_US |
dc.identifier.other | opendissertations/668 | en_US |
dc.identifier.other | 1931 | en_US |
dc.identifier.other | 1088094 | en_US |
dc.identifier.uri | http://hdl.handle.net/11375/11732 | - |
dc.description.abstract | <p>This thesis considers weighted norm inequalities. We characterize those pairs of weight functions for which a mixed norm version of the Hardy inequalities hold and apply these results to certain well known operators.</p> <p>The two weight problem for weak boundedness of certain fractional maximal functions is solved and we give a new necessary condition for strong type boundedness of the fractional maximal and fractional integral operators. Under an additional assumption our condition is shown to be sufficient.</p> <p>Many of these results are true in the setting of the homogeneous spaces of Calderon. Proofs of this together with some L log L type results are given.</p> <p>The space of functions of bounded mean oscillation (BMO) is defined on a homogenous space. Under certain conditions BMO and BMOʳ (0</p> | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Mathematics | en_US |
dc.title | Weighted Norm Inequalities and Homogeneous Spaces | en_US |
dc.type | thesis | en_US |
dc.contributor.department | Mathematics | en_US |
dc.description.degree | Doctor of Philosophy (PhD) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Size | Format | |
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fulltext.pdf | 1.94 MB | Adobe PDF | View/Open |
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