On relations between weak and strong type inequalities for maximal operators on non-doubling metric measure spaces
In this article we characterize all possible cases that may occur in the relations between the sets of p for which weak type (p, p) and strong type (p, p) inequalities for the Hardy-Littlewood maximal operators, both centered and non-centered, hold in the context of general metric measure spaces.
| Autor: | |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:182681 |
| Acesso em linha: | https://ddd.uab.cat/record/182681 https://dx.doi.org/urn:doi:10.5565/PUBLMAT6211802 |
| Access Level: | acceso abierto |
| Palavra-chave: | Hardy-littlewood maximal operators Weak and strong type inequalities Non-doubling metric measure spaces |
| Resumo: | In this article we characterize all possible cases that may occur in the relations between the sets of p for which weak type (p, p) and strong type (p, p) inequalities for the Hardy-Littlewood maximal operators, both centered and non-centered, hold in the context of general metric measure spaces. |
|---|