Geometric analysis in the Euclidean space

at Departament de Matemàtiques, UAB

Tag: Xavier Tolsa

A. Mas and X. Tolsa. “Lp-estimates for the variation for singular integrals on uniformly rectifiable sets”. Preprint (2015). To appear in Trans. Amer. Math. Soc. pdf

J. Azzam, M. Mourgoglou and X. Tolsa. “The one-phase problem for harmonic measure in two-sided NTA domains”. Preprint (2016).  pdf

J. Azzam, M. Mourgoglou and X. Tolsa. “Mutual absolute continuity of interior and exterior harmonic measure implies rectifiability”. Preprint (2016). To appear in Comm. Pure Appl. Math. pdf

D. Girela-Sarrion and X. Tolsa. “The Riesz transform and quantitative rectifiability for general Radon measures”.  Preprint (2016).  pdf

B. Jaye, F. Nazarov, M.C. Reguera and X. Tolsa. “The Riesz transform of codimension smaller than one and the Wolff energy”. Preprint (2016).  pdf

J. Azzam, S. Hofmann, J.M. Martell, S. Mayboroda, M. Mourgoglou, X. Tolsa, and A. Volberg. “Rectifiability of harmonic measure”. Preprint (2015). To appear in Geom. Funct. Anal. pdf

M. Mourgoglou and X. Tolsa. “Harmonic measure and Riesz transform in uniform and general domains”. Preprint (2015). pdf

H. Martikainen, M. Mourgoglou and X. Tolsa. “Improved Cotlar’s inequality in the context of local Tb theorems”. Preprint (2015). pdf

J. Azzam, X. Tolsa. Characterization of n-rectifiability in terms of Jones’ square function: Part II. Preprint (2015). pdf

X. Tolsa. Characterization of n-rectifiability in terms of Jones’ square function: Part I. Preprint (2015). pdf

J. Azzam, M. Mourgoglou, X. Tolsa. Singular sets for harmonic measure on locally flat domains with locally finite boundaries. Preprint (2015). pdf

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

A. Mas and X. Tolsa.   Variation for the Riesz transform and uniform recti ability,   J. Eur. Math. Soc. 16(11) (2014), 2267–2321. pdf

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

A. Mas and X. Tolsa.   Variation and oscillation for singular integrals with odd kernel on Lipschitz graphs,   Proc. London Math. Soc. 105(1) (2012), 49-86. pdf

A. Mas, M. Melnikov, and X. Tolsa.   A dual characterization of the C1 harmonic capacity and applications,   Duke Math. J., 153(1) (2010), 1-22. pdf
See also   Erratum to: “A dual characterization of the C1 harmonic capacity and applications”, Duke Math. J. 153(1) (2010), 1-22,   Duke Math. J., 157(2) (2011), 421-423. 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