Sharp bound for the ergodic maximal operator associated to Cesàro bounded operators
We consider positive invertible Lamperti operators Tf(x)=h(x)Φf(x) such that Φ has no periodic part. Let An,T be the sequence of averages of T and MT the ergodic maximal operator. It is obvious that if MT is bounded on some Lp, 1
| Autores: | , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2018 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositório: | CONICET Digital (CONICET) |
| Idioma: | inglês |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/86791 |
| Acesso em linha: | http://hdl.handle.net/11336/86791 |
| Access Level: | Acceso aberto |
| Palavra-chave: | CESÀRO BOUNDED OPERATORS ERGODIC MAXIMAL OPERATOR LAMPERTI OPERATORS MEAN BOUNDED OPERATORS ONE-SIDED WEIGHTS SHARP BOUND https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Resumo: | We consider positive invertible Lamperti operators Tf(x)=h(x)Φf(x) such that Φ has no periodic part. Let An,T be the sequence of averages of T and MT the ergodic maximal operator. It is obvious that if MT is bounded on some Lp, 1 |
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