Weak-type boundedness of the Fourier transform on rearrangement invariant function spacest

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/119862

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor	Universitat Politècnica de Catalunya. LARCA - Laboratori d'Algorísmia Relacional, Complexitat i Aprenentatge
dc.contributor.author	Boza Rocho, Santiago
dc.contributor.author	Soria de Diego, Javier
dc.date	2018-06-08
dc.identifier.citation	Boza, S., Soria, J. Weak-type boundedness of the Fourier transform on rearrangement invariant function spacest. "Proceedings of the Edinburgh Mathematical Society", 8 Juny 2018, vol. 61, núm. 3, p. 879-890.
dc.identifier.citation	0013-0915
dc.identifier.citation	10.1017/S0013091518000032
dc.identifier.uri	http://hdl.handle.net/2117/119862
dc.language.iso	eng
dc.relation	https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society/article/weaktype-boundedness-of-the-fourier-transform-on-rearrangement-invariant-function-spaces/773F89F399A67FDD3895E9359C251736
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject	Mathematical physics
dc.subject	Fourier transform
dc.subject	rearrangement invariant function spaces
dc.subject	Lorentz spaces
dc.subject	weights
dc.subject	Física matemàtica
dc.title	Weak-type boundedness of the Fourier transform on rearrangement invariant function spacest
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	We study several questions about the weak-type boundedness of the Fourier transform F on rearrangement invariant spaces. In particular, we characterize the action of F as a bounded operator from the minimal Lorentz space ¿(X) into the Marcinkiewicz maximal space M(X), both associated with a rearrangement invariant space X. Finally, we also prove some results establishing that the weak-type boundedness of F, in certain weighted Lorentz spaces, is equivalent to the corresponding strong-type estimates.

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