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http://hdl.handle.net/11375/11732
Title: | Weighted Norm Inequalities and Homogeneous Spaces |
Authors: | Bradley, Scott John |
Advisor: | Heinig, Doctor H.P. |
Department: | Mathematics |
Keywords: | Mathematics;Mathematics |
Publication Date: | 1979 |
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> |
URI: | http://hdl.handle.net/11375/11732 |
Identifier: | opendissertations/668 1931 1088094 |
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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