6 citations · 8 across the 5 of their papers we have counts for
7 papers
Asymptotic fractional uncertainty principle for the Helmholtz equation with periodic scattering data
Javier Canto, Nico Michele Schiavone, Luis Vega
We investigate the fractional dispersion of solutions to the Helmholtz equation with periodic scattering data. We show that, under appropriate rescaling, the interaction between th…
Capacities and density conditions in metric spaces
Javier Canto, Lizaveta Ihnatsyeva, Juha Lehrbäck +1
We examine the relations between different capacities in the setting of a metric measure space. First, we prove a comparability result for the Riesz -capacity and the relati…
The Hajłasz capacity density condition is self-improving
Javier Canto, Antti V. Vähäkangas
We prove a self-improvement property of a capacity density condition for a nonlocal Hajlasz gradient in complete geodesic spaces. The proof relates the capacity density condition w…
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…
Extensions of the John-Nirenberg theorem and applications
Javier Canto, Carlos Pérez
The John-Nirenberg theorem states that functions of bounded mean oscillation are exponentially integrable. In this article we give two extensions of this theorem. The first one rel…
estimates for rough homogeneous singular integrals and sparse forms
Javier Canto, Kangwei Li, Luz Roncal +1
We consider Coifman--Fefferman inequalities for rough homogeneous singular integrals and weights. It was recently shown by Li-Pérez-Rivera-Ríos-Roncal that $$ \|T_Ω\|_{…
Sharp reverse Hölder inequality for weights and applications
Javier Canto
We prove an appropriate sharp quantitative reverse Hölder inequality for the class of weights from which we obtain as a limiting case the sharp reverse Hölder inequality for…