Pitt inequalities and restriction theorems for the Fourier transform

We prove new Pitt inequalities for the Fourier transforms with radial and non-radial weights using weighted restriction inequalities for the Fourier transform on the sphere. We also prove new Riemann-Lebesgue estimates and versions of the uncertainty principle for the Fourier transform. © 2017 Europ...

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Detalles Bibliográficos
Autores: De, Carli, Gorbachev, D., Tikhonov, S.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
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:2072/445827
Acceso en línea:http://hdl.handle.net/2072/445827
Access Level:acceso abierto
Palabra clave:51
Descripción
Sumario:We prove new Pitt inequalities for the Fourier transforms with radial and non-radial weights using weighted restriction inequalities for the Fourier transform on the sphere. We also prove new Riemann-Lebesgue estimates and versions of the uncertainty principle for the Fourier transform. © 2017 European Mathematical Society.