Weighted estimates for Bochner-Riesz operators on Lorentz spaces

We present new estimates in the setting of weighted Lorentz spaces of operators satisfying a limited Rubio de Francia condition; namely T is bounded on Lp(v) for every v in an strictly smaller class of weights than the Muckenhoupt class Ap. Important examples will be the Bochner–Riesz operators BRλ...

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Detalles Bibliográficos
Autores: Baena Miret, Sergi; Carro Rossell, María Jesús
Tipo de documento: Artículo
Fecha de publicación:2022
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Lenguaje:Inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/91123
Acceso en línea:https://hdl.handle.net/20.500.14352/91123
Nivel de acceso:Acceso abierto
Palabra clave:Bochner-Riesz operators
Muchenhoupt weights
Restricted weak type estrapolation
Hörmander multipliers
Rough operators
Weighted classical Lorentz spaces
Análisis matemático
12 Matemáticas
Descripción
Sumario:We present new estimates in the setting of weighted Lorentz spaces of operators satisfying a limited Rubio de Francia condition; namely T is bounded on Lp(v) for every v in an strictly smaller class of weights than the Muckenhoupt class Ap. Important examples will be the Bochner–Riesz operators BRλ with 0<λ<(n−1)/2, sparse operators, Hörmander multipliers with a limited regularity condition and rough operators with Ω∈Lr(Σ) , 1<r<∞.