Composition operators in $bv_p$-spaces, part I: acting conditions and boundedness
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911961923452928 |
|---|---|
| author | Bugajewska, Daria Kasprzak, Piotr |
| author_facet | Bugajewska, Daria Kasprzak, Piotr |
| contents | The aim of this paper is to give the answer to the problem of characterization of acting conditions (necessary as well as sufficient) for composition operators in some sequence spaces. We also characterize their boundedness and local boundedness. We focus on composition operators acting to or from the space $bv_p(E)$ of all sequences of $p$-bounded variation; here $p\geq 1$ and $E$ is a normed space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14176 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Composition operators in $bv_p$-spaces, part I: acting conditions and boundedness Bugajewska, Daria Kasprzak, Piotr Classical Analysis and ODEs 46A45, 47B33 The aim of this paper is to give the answer to the problem of characterization of acting conditions (necessary as well as sufficient) for composition operators in some sequence spaces. We also characterize their boundedness and local boundedness. We focus on composition operators acting to or from the space $bv_p(E)$ of all sequences of $p$-bounded variation; here $p\geq 1$ and $E$ is a normed space. |
| title | Composition operators in $bv_p$-spaces, part I: acting conditions and boundedness |
| topic | Classical Analysis and ODEs 46A45, 47B33 |
| url | https://arxiv.org/abs/2407.14176 |