Weighted Norm Inequalities and Homogeneous Spaces

Bradley, Scott John

Please use this identifier to cite or link to this item: http://hdl.handle.net/11375/11732

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DC Field	Value	Language
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

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