A summability principle and applications
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2019
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916672146767872 |
|---|---|
| author | Albuquerque, Nacib Araújo, Gustavo Rezende, Lisiane Santos, Joedson |
| author_facet | Albuquerque, Nacib Araújo, Gustavo Rezende, Lisiane Santos, Joedson |
| contents | This paper investigates summability principles for multilinear summing operators. The main result presents a novel inclusion theorem for a class of summing operators, which generalizes several classical results. As applications, we derive improved estimates for Hardy--Littlewood inequalities on multilinear forms and prove a Grothendieck--type coincidence result in anisotropic settings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1904_04549 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | A summability principle and applications Albuquerque, Nacib Araújo, Gustavo Rezende, Lisiane Santos, Joedson Functional Analysis 46G25, 47H60 This paper investigates summability principles for multilinear summing operators. The main result presents a novel inclusion theorem for a class of summing operators, which generalizes several classical results. As applications, we derive improved estimates for Hardy--Littlewood inequalities on multilinear forms and prove a Grothendieck--type coincidence result in anisotropic settings. |
| title | A summability principle and applications |
| topic | Functional Analysis 46G25, 47H60 |
| url | https://arxiv.org/abs/1904.04549 |