43 citations · 130 across the 7 of their papers we have counts for
7 papers
Banach function spaces done right
Emiel Lorist, Zoe Nieraeth
In this survey, we discuss the definition of a (quasi-)Banach function space. We advertise the original definition by Zaanen and Luxemburg, which does not have various issues intro…
Extrapolation of compactness on Banach function spaces
Emiel Lorist, Zoe Nieraeth
We prove an extrapolation of compactness theorem for operators on Banach function spaces satisfying certain convexity and concavity conditions. In particular, we show that the boun…
Extrapolation in general quasi-Banach function spaces
Zoe Nieraeth
In this paper we prove off-diagonal, limited range, multilinear, vector-valued, and two-weight versions of the Rubio de Francia extrapolation theorem in general quasi-Banach functi…
Weighted BMO estimates for singular integrals and endpoint extrapolation in Banach function spaces
Zoe Nieraeth, Guillermo Rey
In this paper we prove sharp weighted BMO estimates for singular integrals, and we show how such estimates can be extrapolated to Banach function spaces.
Weighted Lorentz spaces: sharp mixed estimate for maximal functions
Natalia Accomazzo, Javier Duoandikoetxea, Zoe Nieraeth +2
We prove the sharp mixed weighted estimate for the Hardy-Littlewood maximal function in the context of weighted Lorentz spaces, namely \[ \|M\|_{L^{p,q}(w)} \les…
Sparse domination implies vector-valued sparse domination
Emiel Lorist, Zoe Nieraeth
We prove that scalar-valued sparse domination of a multilinear operator implies vector-valued sparse domination for tuples of quasi-Banach function spaces, for which we introduce a…
Quantitative estimates and extrapolation for multilinear weight classes
Zoe Nieraeth
In this paper we prove a quantitative multilinear limited range extrapolation theorem which allows us to extrapolate from weighted estimates that include the cases where some of th…