J. Torrea

activity

20052022

most citedHarmonic Analysis associated with a discrete Laplacian

85 citations · 227 across the 27 of their papers we have counts for

collaborators

Showing 2015Show all

4 papers · 1 filter

math.CA2015★ 62 cited

Weighted variation inequalities for differential operators and singular integrals in higher dimensions

Tao Ma, José Luis Torrea, Quanhua Xu

We prove weighted $q$ -variation inequalities with $2 < q < \infty$ for differential and singular integral operators in higher dimensions. The vector-valued extensions of these inequali…

math.AP2015★ 12 cited

Regularity theory and extension problem for fractional nonlocal parabolic equations and the master equation

P. R. Stinga, J. L. Torrea

We develop the regularity theory for solutions to space-time nonlocal equations driven by fractional powers of the heat operator $$(\partial_t-Δ)^su(t,x)=f(t,x),\quad\hbox{for}~0<s…

math.AP2015★ 11 cited

Fractional discrete Laplacian versus discretized fractional Laplacian

Ó. Ciaurri, L. Roncal, P. R. Stinga +2

We define and study some properties of the fractional powers of the discrete Laplacian $(- Δ_{h})^{s}, on Z_{h} = h Z,$ for $h > 0$ and $0 < s < 1$ . A comparison b…

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…