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Please use this identifier to cite or link to this item: http://hdl.handle.net/11375/6917
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dc.contributor.advisorHeinig, H.P.en_US
dc.contributor.authorEmara, Abbas Ahmed Salahen_US
dc.date.accessioned2014-06-18T16:37:28Z-
dc.date.available2014-06-18T16:37:28Z-
dc.date.created2010-05-19en_US
dc.date.issued1986-09en_US
dc.identifier.otheropendissertations/2220en_US
dc.identifier.other2679en_US
dc.identifier.other1319610en_US
dc.identifier.urihttp://hdl.handle.net/11375/6917-
dc.description.abstract<p>This thesis is concerned with the study of weighted inequalities for operators defined on certain function spaces. If T is a linear - or sublinear operator, weakly bounded on some endpoint spaces, then it is shown that T is also hounded on weighted intermediate spaces. Since the weights govern the indices of the spaces, our results yield weighted extensions of known interpolation spaces and consequently weighted norm inequalities for many classical operators over an extended range of indices. Specifically we obtain new weighted estimates for certain generalizations of the Fourier- and Laplace-transforms, namely the Hankel-, K- and ʯ-transforms in Lebesgue and Lorentz spaces.</p>en_US
dc.subjectMathematicsen_US
dc.subjectMathematicsen_US
dc.titleMixed Weighted Inequalities For Classes of Operatorsen_US
dc.typethesisen_US
dc.contributor.departmentMathematicsen_US
dc.description.degreeDoctor of Philosophy (PhD)en_US
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