Some compact operators on Orlicz spaces

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dc.contributor.advisorO'Neil, Richarden_US
dc.creatorChang, Shu-Yaen_US
dc.date.accessioned2016-04-22T21:59:41Zen_US
dc.date.available2016-04-22T21:59:41Zen_US
dc.date.issued1969en_US
dc.description.abstractLet f be a kernel in the Orlicz space LA. What is the necessary and sufficient condition on the Young's functions A, B, C so that the operator h(x) = S f(x-t)g(t) dt be compact from LB into LC? It is shown that the problem is impossible on the real line, or more generally, on a locally compact, commutative, connected but not compact group. If the group is compact, it is proved that the problem is possible, and the necessary and sufficient condition is that for every 0 > 0, there exists a number n > 0 such that for all x >/ 1: A-1 (x) B-1 (nx) /< onxc-1 (nx)en_US
dc.format.digitalOriginreformatted digitalen_US
dc.format.extent35 ppen_US
dc.identifier.callnoThesis Math. 1969 Changen_US
dc.identifier.citationChang, Shu-Ya. "Some compact operators on Orlicz spaces." (1969) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/90086">https://hdl.handle.net/1911/90086</a>.en_US
dc.identifier.digitalRICE1122en_US
dc.identifier.urihttps://hdl.handle.net/1911/90086en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.titleSome compact operators on Orlicz spacesen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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