Sparse domination theorem for multilinear singular integral operators with $L^{r}$-Hörmander condition

In this note, we show that if $T$ is a multilinear singular integral operator associated with a kernel satisfies the so-called multilinear $L^{r}$-Hörmander condition, then $T$ can be dominated by multilinear sparse operators.

Detalles Bibliográficos
Autor: Li, K.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2017
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/669
Acceso en línea:http://hdl.handle.net/20.500.11824/669
Access Level:acceso abierto
Palabra clave:sparse domination theorem
$L^{r}$-Hörmander condition
Descripción
Sumario:In this note, we show that if $T$ is a multilinear singular integral operator associated with a kernel satisfies the so-called multilinear $L^{r}$-Hörmander condition, then $T$ can be dominated by multilinear sparse operators.