Bilinear littlewood-paley for circle and transference

In this paper we have obtained the boundedness of bilinear Littlewood-Paley operators on the circle group T by using appropriate transference techniques. In particular, bilinear analogue of Carleson's Littlewood-Paley result for all possible indices has been obtained. Also, we prove some biline...

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Detalles Bibliográficos
Autores: Mohanty, Parasar, Shrivastava, Saurabh
Tipo de recurso: artículo
Fecha de publicación:2011
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:76166
Acceso en línea:https://ddd.uab.cat/record/76166
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_55211_11
Access Level:acceso abierto
Palabra clave:Bilinear multipliers
Littlewood-Paley square functions
Transference methods
Descripción
Sumario:In this paper we have obtained the boundedness of bilinear Littlewood-Paley operators on the circle group T by using appropriate transference techniques. In particular, bilinear analogue of Carleson's Littlewood-Paley result for all possible indices has been obtained. Also, we prove some bilinear analogues of de Leeuw's results concerning multipliers of Rn.