A. Mas

activity

20092022

most citedKlein's Paradox and the Relativistic

δ

-shell Interaction in

R^{3}

33 citations · 151 across the 13 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math-ph2015

Dirac operators, shell interactions and discontinuous gauge functions across the boundary

Albert Mas

Given a bounded smooth domain $Ω \subset R^{3}$ , we explore the relation between couplings of the free Dirac operator $- i α \cdot \nabla + m β$ with pure electrostatic shell potenti…

math-ph2015★ 26 cited

An isoperimetric-type inequality for electrostatic shell interactions for Dirac operators

Naiara Arrizabalaga, Albert Mas, Luis Vega

In this article we investigate spectral properties of the coupling $H + V_{λ}$ , where $H = - i α \cdot \nabla + m β$ is the free Dirac operator in $R^{3}$ , $m > 0$ and $V_{λ}$ is an electros…

math.CA2015

Lp-estimates for the variation for singular integrals on uniformly rectifiable sets

Albert Mas, Xavier Tolsa

The $L^{p}$ ( $1 < p < \infty$ ) and weak- $L^{1}$ estimates for the variation for Calderón-Zygmund operators with smooth odd kernel on uniformly rectifiable measures are proven. The $L^{2}$ bo…