Papers

click to download.
  1. Dyadic Shifts and a Logarithmic Estimate for Hankel Operators with Matrix Symbol,
    Comptes Rendus Acad. Sci. Paris, t.330, no.1, pp. 455-460, 2000.
    pdf
  2. (with J. Wittwer)
    A Sharp Estimate for Weighted Hilbert Transform via Bellman Functions,
    Mich. Math. J. 50, 2002, pp. 71-87.
    pdf
  3. (with S. Pott)
    A Version of Burkholder's Theorem for Operator-weighted Spaces,
    Proc. Amer. Math. Soc, {\bf 131} 2003, no.11 pp.3457--3461.
    pdf
  4. (with S. Pott)
    An Estimate for Weighted Hilbert Transform via Square Functions,
    Trans. Amer. Math. Soc 354, 2002, pp. 1699-1703.
    pdf
  5. (with A. Volberg)
    Heating of the Beurling Operator: Weakly Quasiregular Maps on the Plane are Quasiregular,
    Duke Math. J. Vol. 112, No 2, 2002, pp. 281-305.
    pdf
  6. (with S. Treil, A. Volberg)
    Why are the Riesz Transforms Averages of the Dyadic Shifts?,
    Publ. Mat. Vol. Extra, 2002, pp. 209--228. Proc of the 6th Intern Conf on Harm Analysis, El Escorial, Spain.
    pdf
  7. The Sharp Bound for the Hilbert Transform on Weighted Lebesgue Spaces in Terms of the Classical $A_p$ Characteristic,
    to appear Amer. J. Math. , 2006.
    pdf
  8. (with O. Dragicevic, C. Pereyra, L. Grafakos)
    Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces,
    Publ. Mat. 49, 2005, no.1, pp. 73--91.
    pdf
  9. (with J. Wittwer)
    Heating of the Beurling operator and sufficient conditions for the two-weight case,
    submitted to Studia Math, 2004
    pdf
  10. (with S. Treil, B. Wick)
    Carleson potentials and the reproducing kernel thesis for embedding theorems
    to appear Illinois J. Math., 2008
    pdf
  11. The sharp weighted bound for the Riesz transforms
    to appear PAMS, 2006
    pdf
  12. (with O. Dragicevic, A. Volberg)
    A rotation method which gives linear L^p estimates for powers of the Ahlfors Beurling operator
    to appear J. Math. Pures Appl., 2006
    pdf
  13. (with O. Dragicevic, A. Volberg)
    Sharp estimates of martingale transforms in higher dimensions and applications to the Ahlfors Beurling operator,
    preprint, 2006
    pdf
  14. A dimensionless weighted bound for the Riesz transforms in R^n
    preprint, 2006
    pdf
  15. (with B. Wick)
    A weighted estimate for the square function on the unit ball of C^n
    to appear Ark. Mat., 2007
    pdf
  16. (with M. Dindos, J. Pipher)
    The $L^p$ Dirichlet problem for divergence type operators and a $p$-adapted square function
    to appear J. Funct. Anal., 2006
    pdf
  17. (with M. Lacey, J. Pipher, B. Wick)
    Higher order Riesz commutators
    submitted to AJM 2007
    pdf