Some relations among Orlicz spaces

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dc.contributor.advisorO'Neil, Richarden_US
dc.creatorJodeit, Max Augusten_US
dc.date.accessioned2016-04-22T21:58:24Zen_US
dc.date.available2016-04-22T21:58:24Zen_US
dc.date.issued1965en_US
dc.description.abstractIn this paper it is shown that for the study of Orlicz spaces the condition that a Young's function A be convex can be replaced by the more general (and more convenient) condition that A(x)/x be non-decreasing. Some properties of the lattice of Orlicz spaces ordered by inclusion are given. belong to Lc whenever f E LA, g E LB. The condition is also sufficient when the convolution is formed over the integers or (0,2pi]. It is proven here that the condition is also necessary; all triplets A, B, C of Y-functions for which the condition holds are determined.en_US
dc.format.digitalOriginreformatted digitalen_US
dc.format.extent56 ppen_US
dc.identifier.callnoThesis Math. 1965 Jodeiten_US
dc.identifier.citationJodeit, Max August. "Some relations among Orlicz spaces." (1965) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/89749">https://hdl.handle.net/1911/89749</a>.en_US
dc.identifier.digitalRICE0781en_US
dc.identifier.urihttps://hdl.handle.net/1911/89749en_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 relations among 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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