Boza, SantiagoSoria de Diego, F. Javier2019-09-162019-09-162018-06-080013-0915https://hdl.handle.net/2445/140062We 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 Λ(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.12 p.application/pdfeng(c) Edinburgh Mathematical Society, 2018Transformacions de FourierEspais de LorentzFourier transformationsLorentz spacesinfo:eu-repo/semantics/article6714502019-09-16info:eu-repo/semantics/openAccess