Geometric analysis in the Euclidean space

at Departament de Matemàtiques, UAB

Author: GES UAB

X. Tolsa. Rectifiable measures, square functions involving densities, and the Cauchy transform. Preprint (2014). pdf

V. Chousionis, L. Prat, X. Tolsa. Square functions of fractional homogeneity and Wolff potentials. Preprint (2014). pdf

M.Prats, X. Tolsa. A T(P) theorem for Sobolev spaces on domains , J. Funct. Anal. (2015), 268(10), 2946–2989. pdf

M. C. Reguera and X. Tolsa. Riesz transforms of non-integer homogeneity on uniformly disconnected sets. Preprint (2014). To appear in Trans. Amer. Math. Soc. pdf

X. Tolsa and T. Toro. Rectifiability via a square function and Preiss’ theorem. Preprint (2014). To appear in IMRN. pdf

V. Chousionis, J. Garnett, T. Le and X. Tolsa. Square functions and uniform rectifiability. Preprint (2014). To appear in Trans. Amer. Math. Soc. pdf

X. Tolsa.   Uniform measures and uniform rectifiability,   Preprint (2013). pdf

F. Nazarov, X. Tolsa and A. Volberg.  The Riesz transform, rectifiability, and removability for Lipschitz harmonic functions,  Publ. Mat.  58:2 (2014), 517-532. pdf

F. Nazarov, X. Tolsa and A. Volberg.   On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1. Acta Mathematica 213(2) (2014), 237-321pdf

X. Tolsa.  Regularity of C1 and Lipschitz domains in terms of the Beurling transform,   J. Math. Pures Appl. (9) 100 (2013), no. 2, 137-165. pdf

V. Chousionis and X. Tolsa.   Strong and weak type estimates for singular integrals with respect to measures separated by AD-regular boundaries,   IMRN Vol. 2014(23) (2014), 6497-6522 . pdf

X. Tolsa.  Mass transport and uniform rectifiability,  Geom. Funct. Anal. 22 (2012), no. 2, 478-527. pdf

X. Tolsa.   Uniform rectifiability, Calderon-Zygmund operators with odd kernel, and quasiorthogonality,  Proc. London Math. Soc. 98(2) (2009), 393-426. pdf

X. Tolsa.   BMO, H1, and Calderon-Zygmund operators for non doubling measures,   Math. Ann. 319 (2001), 89-149. pdf