Hardy–Littlewood and Pitts inequalities for Hausdorff operators

In this paper we study transformed trigonometric series with Hausdorff averages of Fourier coefficients. We prove Hardy–Littlewood and Pitts inequalities for such series. The corresponding results for the Hausdorff averages of the Fourier transforms are also obtained. © 2018 Elsevier Masson SAS

Detalles Bibliográficos
Autores: Dyachenko, M., Nursultanov, E., Tikhonov, S.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/445740
Acceso en línea:http://hdl.handle.net/2072/445740
Access Level:acceso abierto
Palabra clave:51
Descripción
Sumario:In this paper we study transformed trigonometric series with Hausdorff averages of Fourier coefficients. We prove Hardy–Littlewood and Pitts inequalities for such series. The corresponding results for the Hausdorff averages of the Fourier transforms are also obtained. © 2018 Elsevier Masson SAS