31 citations · 43 across the 20 of their papers we have counts for
25 papers
Asymptotically sharp embedding of into for flat weights and applications to Poincaré-Sobolev inequalities
Alejandro Claros, Ezequiel Rela
We provide new quantitative results on the embedding of the Muckenhoupt class into with the correct asymptotic behavior when the Fujii--Wilson constant $[w]_{A_\in…
Slowly decaying Rajchman measures and a restriction theorem for the Fourier transform at the limit case of zero Fourier dimension
Iván Polasek, Ezequiel Rela
In this article we prove the existence of sets of zero Fourier dimension such that it is possible to restrict the Fourier transform to on a certain non…
Weighted Sobolev Inequalities via the Meyers--Ziemer Framework: Measures, Isoperimetric Inequalities, and Endpoint Estimates
Simon Bortz, Kabe Moen, Andrea Olivo +2
We establish a new global endpoint Sobolev inequality for measures that extends the classical theorem of Meyers-Ziemer by placing a maximal function on the right-hand side. This re…
The exact dimension of Liouville numbers: The Fourier side
Iván Polasek, Ezequiel Rela
In this article we study the generalized Fourier dimension of the set of Liouville numbers . Being a set of zero Hausdorff dimension, the analysis has to be done at the…
Weighted Inequalities for Fractional maximal functions on the infinite rooted -ary tree
Abhishek Ghosh, Ezequiel Rela
In this article we introduce the fractional Hardy-Littlewood maximal function on the infinite rooted -ary tree and study its weighted boundedness. We also provide examples of we…
Some non-standard biparametric Poincaré type inequalities through harmonic analysis
María Eugenia Cejas, Carolina Mosquera, Carlos Pérez +1
We show some non-standard Poincaré type estimates in the biparametric setting with appropriate weights. We will derive these results using variants from classical estimates exploit…