31 citations · 32 across the 3 of their papers we have counts for
6 papers · 1 filter
Quantitative John-Nirenberg inequalities at different scales
Javier C. Martínez-Perales, Ezequiel Rela, Israel P. Rivera-Ríos
We provide an abstract estimate of the form \[ \|f-f_{Q,μ}\|_{X \left(Q,\frac{\mathrm{d} μ}{Y(Q)}\right)}\leq c(μ,Y)ψ(X)\|f\|_{\mathrm{BMO}(\mathrm{d}μ)} \] for all cubes in $\…
Minimal conditions for BMO
Javier Canto, Carlos Perez, Ezequiel Rela
We study minimal integrability conditions via Luxemburg-type expressions with respect to generalized oscillations that imply the membership of a given function to the space BMO…
A note on generalized Fujii-Wilson conditions and BMO spaces
Sheldy Ombrosi, Carlos Pérez, Israel P. Rivera-Ríos +1
In this note we generalize the definition of Fujii-Wilson condition providing quantitative characterizations of some interesting classes of weights, such as , $A_\infty^{…
Weighted estimates for maximal functions associated to skeletons
Andrea Olivo, Ezequiel Rela
We provide quantitative weighted estimates for the norm of a maximal operator associated to cube skeletons in . The method of proof differs from the usual in…
Degenerate Poincaré-Sobolev inequalities
Carlos Pérez, Ezequiel Rela
We study weighted Poincaré and Poincaré-Sobolev type inequalities with an explicit analysis on the dependence on the constants of the involved weights. We obtain inequalities…
Sharp Reverse Hölder property for A_\infty weights on spaces of homogeneous type
Tuomas Hytönen, Carlos Pérez, Ezequiel Rela
In this article we present a new proof of a sharp Reverse Hölder Inequality for weights that is valid in the context of spaces of homogeneous type. Then we derive two ap…