Some properties and interpolation theorems in weak Orlicz–Lorentz spaces

This paper is devoted to the studying of the weak Orlicz–Lorentz space Λ X φ , ∞ ( w ) , which can be regarded as an extension of weak Orlicz space L X φ , ∞ and weak Lorentz space Λ X p , ∞ ( w ) . Results are obtained on the basic properties of convergence, normability and embedding relationships....

Full description

Saved in:
Bibliographic Details
Published in:Acta mathematica Hungarica 2021-06, Vol.164 (1), p.28-45
Main Authors: Fan, L.-P., Ma, C.-B.
Format: Article
Language:English
Subjects:
Basic converters
Interpolation
Mathematics
Mathematics and Statistics
Orlicz space
Theorems
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper is devoted to the studying of the weak Orlicz–Lorentz space Λ X φ , ∞ ( w ) , which can be regarded as an extension of weak Orlicz space L X φ , ∞ and weak Lorentz space Λ X p , ∞ ( w ) . Results are obtained on the basic properties of convergence, normability and embedding relationships. Some interpolation theorems of operators are also given in the final part.
ISSN:0236-5294
1588-2632
DOI:10.1007/s10474-020-01112-8