Integration in Orlicz-Bochner Spaces
Author
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-14
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Let (Ω,Σ,μ) be a complete σ-finite measure space, φ be a Young function, and X and Y be Banach spaces.
Let Lφ(X) denote the Orlicz-Bochner space, and Tφ∧ denote the finest Lebesgue topology on Lφ(X).
We study the problem of integral representation of (Tφ∧,·Y)-continuous linear operators T:Lφ(X)→Y with respect to the representing operator-valued measures.
The relationships between (Tφ∧,·Y)-continuous linear operators T:Lφ(X)→Y and the topological properties of their representing operator measures are established.
American Psychological Association (APA)
Nowak, Marian. 2018. Integration in Orlicz-Bochner Spaces. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1186731
Modern Language Association (MLA)
Nowak, Marian. Integration in Orlicz-Bochner Spaces. Journal of Function Spaces No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1186731
American Medical Association (AMA)
Nowak, Marian. Integration in Orlicz-Bochner Spaces. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1186731
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186731