Endpoint multilinear restricted weak type extrapolation theorem
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913402754957312 |
|---|---|
| author | Li, Kangwei Luque, Teresa Ombrosi, Sheldy |
| author_facet | Li, Kangwei Luque, Teresa Ombrosi, Sheldy |
| contents | In this paper we present a generalization in the context of multilinear Muckenhoupt classes of the endpoint extrapolation theorem on restricted weights due to Carro, Grafakos and Soria. Moreover, our main result is obtained on limited ranges of boundedness and to this aim we introduce a new limited range, off-diagonal extrapolation theorem in the context of restricted weights. In addition, as one of the applications, we prove endpoint estimates of certain bi-sublinear maximal functions associated with the study of return time theorems in ergodic theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16582 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Endpoint multilinear restricted weak type extrapolation theorem Li, Kangwei Luque, Teresa Ombrosi, Sheldy Classical Analysis and ODEs In this paper we present a generalization in the context of multilinear Muckenhoupt classes of the endpoint extrapolation theorem on restricted weights due to Carro, Grafakos and Soria. Moreover, our main result is obtained on limited ranges of boundedness and to this aim we introduce a new limited range, off-diagonal extrapolation theorem in the context of restricted weights. In addition, as one of the applications, we prove endpoint estimates of certain bi-sublinear maximal functions associated with the study of return time theorems in ergodic theory. |
| title | Endpoint multilinear restricted weak type extrapolation theorem |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2406.16582 |