International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1986 / Article

Open Access

Volume 9 |Article ID 291761 | https://doi.org/10.1155/S0161171286000558

Roshdi Khalil, "Inclusions of Hardy Orlicz spaces", International Journal of Mathematics and Mathematical Sciences, vol. 9, Article ID 291761, 6 pages, 1986. https://doi.org/10.1155/S0161171286000558

Inclusions of Hardy Orlicz spaces

Received09 Sep 1985
Revised24 Feb 1986

Abstract

Let ϕ be a continuous positive increasing function defined on [0,) such that ϕ(x+y)ϕ(x)+ϕ(y) and ϕ(0)=0. The Hardy-Orlicz space generated by ϕ is denoted by H(ϕ). In this paper, we prove that for ϕψ, if H(ϕ)=H(ψ) as sets, then H(ϕ)=H(ψ) as topological vector spaces. Some other results are given.

Copyright © 1986 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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