E. Rela

activity

20122026

most citedSharp Reverse Hölder property for A_\infty weights on spaces of homogeneous type

31 citations · 32 across the 7 of their papers we have counts for

collaborators

Showing 2026 · math.CAShow all

3 papers · 2 filters

math.CA2026

Asymptotically sharp embedding of $A_{\infty}$ into $A_{p}$ 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 $A_{\infty}$ into $A_{p}$ with the correct asymptotic behavior when the Fujii--Wilson constant $[w]_{A_\in…

math.CA2026

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 $E \subseteq R$ of zero Fourier dimension such that it is possible to restrict the Fourier transform to $E$ on a certain non…

math.CA2026

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…

Asymptotically sharp embedding of A∞​ into Ap​ for flat weights and applications to Poincaré-Sobolev inequalities

Slowly decaying Rajchman measures and a restriction theorem for the Fourier transform at the limit case of zero Fourier dimension

Weighted Sobolev Inequalities via the Meyers--Ziemer Framework: Measures, Isoperimetric Inequalities, and Endpoint Estimates

Asymptotically sharp embedding of $A_{\infty}$ into $A_{p}$ for flat weights and applications to Poincaré-Sobolev inequalities