Publicaciones en colaboración con investigadoras/es de University of Missouri (8)

2020

  1. Harmonic measure and quantitative connectivity: geometric characterization of the Lp -solvability of the Dirichlet problem

    Inventiones Mathematicae, Vol. 222, Núm. 3, pp. 881-993

2018

  1. Kato square root problem with unbounded leading coefficients

    Proceedings of the American Mathematical Society, Vol. 146, Núm. 12, pp. 5295-5310

2016

  1. Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension-one Hausdorff measure

    Comptes Rendus Mathematique, Vol. 354, Núm. 4, pp. 351-355

  2. Rectifiability of harmonic measure

    Geometric and Functional Analysis, Vol. 26, Núm. 3, pp. 703-728

2015

  1. Layer potentials and boundary value problems for elliptic equations with complex L∞ coefficients satisfying the small Carleson measure norm condition

    Advances in Mathematics, Vol. 270, pp. 480-564

2014

  1. A local Tb theorem for square functions in domains with ahlfors-david regular boundaries

    Journal of Geometric Analysis, Vol. 24, Núm. 3, pp. 1619-1640

2012

  1. On sets of directions determined by subsets of ℝd

    Journal d'Analyse Mathematique, Vol. 116, Núm. 1, pp. 355-369

2004

  1. Transmission problems and spectral theory for singular integral operators on Lipschitz domains

    Journal of Functional Analysis, Vol. 216, Núm. 1, pp. 141-171