Steve Hofmann

Overview

Best Publications

• The solution of the Kato square root problem for second order elliptic operators on Rn

  Pascal Auscher;Steve Hofmann;Michael Lacey;Alan McIntosh

  438
  Citations

• Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates

  Steve Hofmann;Guozhen Lu;Dorina Mitrea;Marius Mitrea

  332
  Citations

• Hardy and BMO spaces associated to divergence form elliptic operators

  Steve Hofmann;Svitlana Mayboroda;Svitlana Mayboroda

  301
  Citations

• Riesz transform on manifolds and heat kernel regularity

  Pascal Auscher;Thierry Coulhon;Xuan Thinh Duong;Steve Hofmann

  279
  Citations

• Second order elliptic operators with complex bounded measurable coefficients in L p , Sobolev and Hardy spaces

  Steve Hofmann;Svitlana Mayboroda;Alan McIntosh

  195
  Citations

• Singular Integrals and Elliptic Boundary Problems on Regular Semmes–Kenig–Toro Domains

  Steve Hofmann;Marius Mitrea;Michael Taylor

  171
  Citations

• The Green function estimates for strongly elliptic systems of second order

  Steve Hofmann;Seick Kim

  161
  Citations

• The Kato square root problem for higher order elliptic operators and systems on $ \Bbb R^n $

  Pascal Auscher;Steve Hofmann;Alan McIntosh;Philippe Tchamitchian

  140
  Citations

• Carleson measures, trees, extrapolation, and T(b) theorems

  Pascal Auscher;Steve Hofmann;Camil Muscalu;Terence Tao

  135
  Citations

• Lp bounds for Riesz transforms and square roots associated to second order elliptic operators

  Steve Hofmann;José María Martell

  130
  Citations

• Extrapolation of Carleson measures and the analyticity of Kato's square-root operators

  Pascal Auscher;Steve Hofmann;John L. Lewis;Philippe Tchamitchian

  126
  Citations

• Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators

  Steve Hofmann;Carlos E. Kenig;Svitlana Mayboroda;Jill Pipher

  120
  Citations

• Analyticity of layer potentials and $L^{2}$ solvability of boundary value problems for divergence form elliptic equations with complex $L^{\infty}$ coefficients

  M. Angeles Alfonseca;Pascal Auscher;Andreas Axelsson;Steve Hofmann

  120
  Citations

• Geometric and transformational properties of Lipschitz domains, Semmes-Kenig-Toro domains, and other classes of finite perimeter domains

  Steve Hofmann;Marius Mitrea;Michael Taylor

  115
  Citations

• The Dirichlet problem for parabolic operators with singular drift terms

  Steve Hofmann;John L. Lewis

  115
  Citations

• Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems

  Pascal Auscher;Andreas Axelsson;Steve Hofmann

  114
  Citations

• Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in $L^p$

  Steve Hofmann;José María Martell

  106
  Citations

• The Solution of the Kato Problem for Divergence Form Elliptic Operators with Gaussian Heat Kernel Bounds

  Steve Hofmann;Michael Lacey;Alan McIntosh

  96
  Citations

• Parabolic singular integrals of Calderón-type, rough operators, and caloric layer potentials

  Steve Hofmann

  94
  Citations

• Uniform rectifiability and harmonic measure II: Poisson kernels in $L^p$ imply uniform rectifiability

  Steve Hofmann;José María Martell;Ignacio Uriarte-Tuero

  86
  Citations

• A new characterization of chord-arc domains

  Jonas Azzam;Steve Hofmann;Jose Maria Martell;Kaj Nyström

  59
  Citations