Equality of some classical Lorentz spaces

We prove that although the class of M p -weights of Muckenhoupt is strictly smaller than class of B p -weights of Ariño and Muckenhoupt, both classes produce the same classical Lorentz spaces. An analogous result is obtained for other classes of weights.

Detalles Bibliográficos
Autores: Boza, Santiago, Martín i Pedret, Joaquim|||0000-0002-7467-787X
Tipo de recurso: artículo
Fecha de publicación:2005
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:271875
Acceso en línea:https://ddd.uab.cat/record/271875
https://dx.doi.org/urn:doi:10.1007/s11117-003-2712-x
Access Level:acceso abierto
Palabra clave:Lorentz spaces
Hardy's operators
Weights
Descripción
Sumario:We prove that although the class of M p -weights of Muckenhoupt is strictly smaller than class of B p -weights of Ariño and Muckenhoupt, both classes produce the same classical Lorentz spaces. An analogous result is obtained for other classes of weights.