Kato–Ponce estimates for fractional sublaplacians in the Heisenberg group

We give a proof of commutator estimates for fractional powers of the sublaplacian on the Heisenberg group. Our approach is based on pointwise and $L^p$ estimates involving square fractional integrals and Littlewood--Paley square functions

Detalles Bibliográficos
Autores: Fanelli, L., Roncal, L.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/1552
Acceso en línea:http://hdl.handle.net/20.500.11824/1552
Access Level:acceso embargado
Palabra clave:Kato--Ponce estimates
fractional sublaplacians
Heisenberg group
square fractional integrals
Littlewood--Paley square functions
Descripción
Sumario:We give a proof of commutator estimates for fractional powers of the sublaplacian on the Heisenberg group. Our approach is based on pointwise and $L^p$ estimates involving square fractional integrals and Littlewood--Paley square functions