F. J. Martín-Reyes

collaborators

2 papers

math.CA2019

The Calderón operator and the Stieltjes transform on variable Lebesgue spaces with weights

David Cruz-Uribe, Estefania Dalmasso, Francisco Martin-Reyes +1

We characterize the weights for the Stieltjes transform and the Calderón operator to be bounded on the weighted variable Lebesgue spaces $L_{w}^{p (\cdot)} (0, \infty)$ , assuming that t…

math.AP2015

Maximum principles, extension problem and inversion for nonlocal one-sided equations

A. Bernardis, F. J. Martín-Reyes, P. R. Stinga +1

We study one-sided nonlocal equations of the form $\int_{x_{0}}^{\infty} \frac{u ( x ) - u ( x _{0} )}{( x - x _{0} ) ^{1 + α}} d x = f (x_{0}),$ on the real line. Notice that to compute this nonlocal operator…