O'Neil, Richard2016-04-222016-04-221965Jodeit, 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>.https://hdl.handle.net/1911/89749In 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.56 ppengCopyright 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.ThesisRICE0781reformatted digitalThesis Math. 1965 Jodeit