Preprints
Characterization of balls as minimizers of an endpoint Gagliardo seminorm on the boundary.
A. Mas.
arXiv:1805.03557 (2018).
Articles in indexed journals
A connection between quantum dot Dirac operators and dbar-Robin Laplacians in the context of shape optimization problems.
J. Duran, A. Mas, T. Sanz-Perela.
Journal of Functional Analysis 290(10), 111398 (2026).
Strict rearrangement inequalities: nonexpansivity and periodic Gagliardo seminorms.
G. Csató, A. Mas.
Trans. Amer. Math. Soc. 378(10) (2025), 7163-7197.
Examples of optimal Hölder regularity in semilinear equations involving the fractional Laplacian.
G. Csató, A. Mas.
Nonlinear Analysis (2025).
Periodic solutions to integro-differential equations: variational formulation, symmetry, and regularity.
X. Cabré, G. Csató, A. Mas.
Commun. Partial Differential Equations (2025).
Convergence of generalized MIT bag models to Dirac operators with zigzag boundary conditions.
J. Duran, A. Mas.
Anal. Math. Phys. 14 (2024), 85.
Existence and symmetry of periodic nonlocal-CMC surfaces via variational methods.
X. Cabré, G. Csató, A. Mas.
J. reine angew. Math. (2023).
Eigenvalue curves for generalized MIT bag models.
N. Arrizabalaga, A. Mas, T. Sanz-Perela, L. Vega.
Commun. Math. Phys. (2022).
General delta-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation.
B. Cassano, V. Lotoreichik, A. Mas, M. Tušek.
Rev. Mat. Iberoam. (2022).
Pointwise monotonicity of heat kernels.
D. Alonso-Orán, F. Chamizo, Á. D. Martínez, A. Mas.
Rev. Mat. Complut. (2021).
Discrepancy of minimal Riesz energy points.
J. Marzo, A. Mas.
Constr. Approx. (2021).
Self-adjoint Dirac operators on domains in R^3.
J. Behrndt, M. Holzmann, A. Mas.
Ann. Henri Poincaré 21 (2020), 2681-2735.
The MIT Bag Model as an infinite mass limit.
N. Arrizabalaga, L. Le Treust, A. Mas, N. Raymond.
Journal de l'École polytechnique - Mathématiques, Vol. 6 (2019), 329-365.
Klein's Paradox and the relativistic delta-shell interaction in R^3.
A. Mas, F. Pizzichillo.
Anal. & PDE, Vol. 11 (2018), No. 3, 705-744.
The relativistic spherical delta-shell interaction in R^3: spectrum and approximation.
A. Mas, F. Pizzichillo.
J. Math. Phys. 58 (2017), 082102.
Dirac operators, shell interactions, and discontinuous gauge functions across the boundary.
A. Mas.
J. Math. Phys. 58 (2017), 022301.
L^p-estimates for the variation for singular integrals on uniformly rectifiable sets.
A. Mas, X. Tolsa.
Trans. Amer. Math. Soc. 369(11) (2017), 8239-8275.
An isoperimetric-type inequality for electrostatic shell interactions for Dirac operators.
N. Arrizabalaga, A. Mas, L. Vega.
Commun. Math. Phys. 344 (2016), 483-505.
Shell interactions for Dirac operators: on the point spectrum and the confinement.
N. Arrizabalaga, A. Mas, L. Vega.
SIAM J. Math. Anal. 47(2) (2015), 1044-1069.
Variation for the Riesz transform and uniform rectifiability.
A. Mas, X. Tolsa.
J. Eur. Math. Soc. 16(11) (2014), 2267-2321.
Shell interactions for Dirac operators.
N. Arrizabalaga, A. Mas, L. Vega.
J. Math. Pures Appl. 102 (2014), 617-639.
Variation for singular integrals on Lipschitz graphs: L^p and endpoint estimates.
A. Mas.
Trans. Amer. Math. Soc. 365(11) (2013), 5759-5781.
Variation and oscillation for singular integrals with odd kernel on Lipschitz graphs.
A. Mas, X. Tolsa.
Proc. London Math. Soc. 105(1) (2012), 49-86.
Erratum to: "A dual characterization of the C^1 harmonic capacity and applications", Duke Math. J. 153 (2010), 1-22.
A. Mas, M. Melnikov, X. Tolsa.
Duke Math. J. 157(2) (2011), 421-423.
A dual characterization of the C^1 harmonic capacity and applications.
A. Mas, M. Melnikov, X. Tolsa.
Duke Math. J. 153(1) (2010), 1-22.
Failure of rational approximation on some Cantor type sets.
A. Mas.
Proc. Amer. Math. Soc. 137(2) (2009), 635-640.
Books/Chapters
Una mirada a la mecánica cuántica.
N. Arrizabalaga, A. Fernández, A. Mas, S. Montaner, L. Potenciano, O. Rey, L. Urrutia, L. Vega.
Editorial Académica Española (AV Academikerverlag GmbH & Co. KG.) (2013), ISBN 978-3-659-07608-4.
Variation for Riesz transforms and analytic and Lipschitz harmonic capacities.
A. Mas.
PhD thesis (2011). Published by AV Academikerverlag GmbH & Co. KG. with the title "Cauchy and Riesz transforms in geometric analysis", ISBN 978-3-8465-5729-7.
Expository papers
Variational inequalities for singular integral operators.
A. Mas.
Journées équations aux dérivées partielles, Exp. No. 7 (2012).