Notes on Hlog: structural properties, dyadic variants, and bilinear H1-BMO mappings

This article is devoted to a study of the Hardy space Hlog(Rd) introduced by Bonami, Grellier, and Ky. We present an alternative approach to their result relating the product of a function in the real Hardy space H1 and a function in BMO to distributions that belong to Hlog based on dyadic paraprodu...

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Detalles Bibliográficos
Autores: Bakas, O., Pott, S., Rodríguez-López, S., Sola, A.
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:20.500.11824/2142
Acceso en línea:http://hdl.handle.net/20.500.11824/2142
Access Level:acceso abierto
Descripción
Sumario:This article is devoted to a study of the Hardy space Hlog(Rd) introduced by Bonami, Grellier, and Ky. We present an alternative approach to their result relating the product of a function in the real Hardy space H1 and a function in BMO to distributions that belong to Hlog based on dyadic paraproducts. We also point out analogues of classical results of Hardy-Littlewood, Zygmund, and Stein for Hlog and related Musielak-Orlicz spaces.