Some relations among Orlicz spaces

dc.contributor.advisorO'Neil, Richard
dc.creatorJodeit, Max August
dc.date.accessioned2016-04-22T21:58:24Z
dc.date.available2016-04-22T21:58:24Z
dc.date.issued1965
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.
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>.
dc.identifier.digitalRICE0781en_US
dc.identifier.urihttps://hdl.handle.net/1911/89749
dc.language.isoeng
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.
dc.titleSome relations among Orlicz spaces
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMathematics
thesis.degree.disciplineNatural Sciences
thesis.degree.grantorRice University
thesis.degree.levelMasters
thesis.degree.nameMaster of Arts
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