1 citations · 1 across the 3 of their papers we have counts for
5 papers
On the weighted inequality between the Gagliardo and Sobolev seminorms
Ritva Hurri-Syrjänen, Javier C. Martínez-Perales, Carlos Pérez +1
We prove weighted inequalities between the Gagliardo and Sobolev seminorms and also between the Marcinkiewicz quasi-norm and the Sobolev seminorm. With weights we improve ear…
On the BBM-phenomenon in fractional Poincaré-Sobolev inequalities with weights
Ritva Hurri-Syrjänen, Javier C. Martínez-Perales, Carlos Pérez +1
In this paper we unify and improve some of the results of Bourgain, Brezis and Mironescu and the weighted Poincaré-Sobolev estimate by Fabes, Kenig and Serapioni. More precisely, w…
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 $\…
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…
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.…