Sergi Baena i Miret - There are no Banach function spaces, only weighted L^2

Talk given on Tuesday 23rd of June of 2020. Abstract: An important property of the A_p weights is the extrapolation theorem of Rubio de Francia. It was announced in 1982 and given with a detailed proof in 1984, both by J.L. Rubio de Francia. In its original version, reads as follows: if T is a sublinear operator which satisfies the strong type boundedness T : L^2(v) -- L^2(v) for every weight v ∈ A_2 with constant only depending on v, then for 1 less p less ∞, T : L^p(v) -- L^p(v) is bounded for every v ∈ A_p, with constant depending only on v. We will make a review of some of the different versions that have appeared since then. Poster of the talk: http://www.ub.edu/simba/posters/simba200623.pdf Slides: http://www.ub.edu/simba/slides/simba200624-SBaena.pdf ========================================================= SIMBa Seminar website: http://www.ub.edu/simba Subscribe to the SIMBa Seminar mailing list: http://eepurl.com/gMkuv Do you want to give a talk? https://goo.gl/1TcwQR