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dc.contributor.advisor O'Neil, Richard
dc.creatorJodeit, Max August
dc.date.accessioned 2016-04-22T21:58:24Z
dc.date.available 2016-04-22T21:58:24Z
dc.date.issued 1965
dc.identifier.citation Jodeit, Max August. "Some relations among Orlicz spaces." (1965) Master’s Thesis, Rice University. http://hdl.handle.net/1911/89749.
dc.identifier.urihttp://hdl.handle.net/1911/89749
dc.description.abstract In 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.extent 56 pp
dc.language.iso eng
dc.title Some relations among Orlicz spaces
dc.identifier.digital RICE0781
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Mathematics
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Arts
dc.format.digitalOrigin reformatted digital
dc.identifier.callno Thesis Math. 1965 Jodeit


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