3 papers
math.CA2020
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 $\…
math.CA2019
Improved fractional Poincaré type inequalities on John domains
María Eugenia Cejas, Irene Drelichman, Javier C. Martínez-Perales
We obtain improved fractional Poincaré inequalities in John domains of a metric space endowed with a doubling measure under some mild regularity conditions on the meas…
math.CA2017
On Bloom type estimates for iterated commutators of fractional integrals
Natalia Accomazzo, Javier C. Martínez-Perales, Israel P. Rivera-Ríos
In this paper we provide quantitative Bloom type estimates for iterated commutators of fractional integrals improving and extending results from a work of Holmes, Rahm and Spencer.…