Inclusions of Hardy Orlicz spaces

Roshdi Khalil

International Journal of Mathematics and Mathematical Sciences, 1986, vol. 9, 1-6

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 ϕ ≠ ψ , if H ( ϕ ) = H ( ψ ) as sets, then H ( ϕ ) = H ( ψ ) as topological vector spaces. Some other results are given.

Date: 1986
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/9/291761.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/9/291761.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:291761

DOI: 10.1155/S0161171286000558

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().