On the properties of rearrangement-invariant quasi-Banach function spaces
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912646310133760 |
|---|---|
| author | Musilová, Anna Nekvinda, Aleš Peša, Dalimil Turčinová, Hana |
| author_facet | Musilová, Anna Nekvinda, Aleš Peša, Dalimil Turčinová, Hana |
| contents | This paper explores some important aspects of the theory of rearrangement-invariant quasi-Banach function spaces. We focus on two main topics. Firstly, we prove an analogue of the Luxemburg representation theorem for rearrangement-invariant quasi-Banach function spaces over resonant measure spaces. Secondly, we develop the theory of fundamental functions and endpoint spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00707 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the properties of rearrangement-invariant quasi-Banach function spaces Musilová, Anna Nekvinda, Aleš Peša, Dalimil Turčinová, Hana Functional Analysis 46E30, 46A16 This paper explores some important aspects of the theory of rearrangement-invariant quasi-Banach function spaces. We focus on two main topics. Firstly, we prove an analogue of the Luxemburg representation theorem for rearrangement-invariant quasi-Banach function spaces over resonant measure spaces. Secondly, we develop the theory of fundamental functions and endpoint spaces. |
| title | On the properties of rearrangement-invariant quasi-Banach function spaces |
| topic | Functional Analysis 46E30, 46A16 |
| url | https://arxiv.org/abs/2404.00707 |