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 2009Show all

3 papers · 1 filter

math.AP2009★ 1 cited

Regularity theory for the fractional harmonic oscillator

P. R. Stinga, J. L. Torrea

In this paper we develop the theory of Schauder estimates for the fractional harmonic oscillator $H^{σ} = (- Δ + ∣ x ∣^{2})^{σ}$ , $0 < σ < 1$ . More precisely, a new class of smooth functions $C^{k,…

math.AP2009★ 3 cited

Extension problem and Harnack's inequality for some fractional operators

P. R. Stinga, J. L. Torrea

The fractional Laplacian can be obtained as a Dirichlet-to-Neumann map via an extension problem to the upper half space. In this paper we prove the same type of characterization fo…

math.AP2009★ 8 cited

On the boundary convergence of solutions to the Hermite-Schrödinger equation

Peter Sjögren, J. L. Torrea

In the half-space $R^{d} \times R_{+}$ , we consider the Hermite-Schrödinger equation $i \partial u / \partial t = - Δ u + ∣ x ∣^{2} u$ , with given boundary values on $\mathbb…