Quantitative estimates for bounded holomorphic semigroups
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2022
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909097937338368 |
|---|---|
| author | Hytönen, Tuomas Lappas, Stefanos |
| author_facet | Hytönen, Tuomas Lappas, Stefanos |
| contents | In this paper we revisit the theory of one-parameter semigroups of linear operators on Banach spaces in order to prove quantitative bounds for bounded holomorphic semigroups. Subsequently, relying on these bounds we obtain new quantitative versions of two recent results of Xu related to the vector-valued Littlewood--Paley--Stein theory for symmetric diffusion semigroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_14198 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Quantitative estimates for bounded holomorphic semigroups Hytönen, Tuomas Lappas, Stefanos Functional Analysis Classical Analysis and ODEs 47D03 (Primary), 42B25, 46B20 In this paper we revisit the theory of one-parameter semigroups of linear operators on Banach spaces in order to prove quantitative bounds for bounded holomorphic semigroups. Subsequently, relying on these bounds we obtain new quantitative versions of two recent results of Xu related to the vector-valued Littlewood--Paley--Stein theory for symmetric diffusion semigroups. |
| title | Quantitative estimates for bounded holomorphic semigroups |
| topic | Functional Analysis Classical Analysis and ODEs 47D03 (Primary), 42B25, 46B20 |
| url | https://arxiv.org/abs/2208.14198 |