Publications (45)
Square Function Estimates in Spaces of Homogeneous Type and on Uniformly Rectifiable Euclidean Sets
Steve Hofmann, Dorina Mitrea, Marius Mitrea +1
Quantitative Fatou Theorems and Uniform Rectifiability
Simon Bortz, Steve Hofmann
The Regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients
Steve Hofmann, Carlos Kenig, Svitlana Mayboroda +1
Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension one Hausdorff measure
Jonas Azzam, Steve Hofmann, José MarÃa Martell +4
Harmonic measure and quantitative connectivity: geometric characterization of the $L^p$-solvability of the Dirichlet problem. Part I
Steve Hofmann, José MarÃa Martell
BMO Solvability and Absolute Continuity of Caloric Measure
Alyssa Genschaw, Steve Hofmann
Harmonic measure and approximation of uniformly rectifiable sets
Simon Bortz, Steve Hofmann
The weak-$A_\infty$ property of harmonic and $p$-harmonic measures implies uniform rectifiability
Steve Hofmann, Phi Le, José MarÃa Martell +1
On Stability of Square Root Domains for Non-Self-Adjoint Operators Under Additive Perturbations
Fritz Gesztesy, Steve Hofmann, Roger Nichols
Carleson measures, trees, extrapolation, and $T(b)$ theorems
Pascal Auscher, Steve Hofmann, Camil Muscalu +2
The Neumann problem for higher order elliptic equations with symmetric coefficients
Ariel Barton, Steve Hofmann, Svitlana Mayboroda
Rectifiability, interior approximation and Harmonic Measure
Murat Akman, Simon Bortz, Steve Hofmann +1
Rectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries
Murat Akman, Matthew Badger, Steve Hofmann +1
A new characterization of chord-arc domains
Jonas Azzam, Steve Hofmann, José MarÃa Martell +2
Uniform Rectifiability and harmonic measure IV: Ahlfors regularity plus Poisson kernels in $L^p$ implies uniform rectifiability
Steve Hofmann, J. M. Martell
Correction to ``Hardy and BMO spaces associated to divergence form elliptic operators"
Steve Hofmann, Svitlana Mayboroda
Hardy and BMO spaces associated to divergence form elliptic operators
Steve Hofmann, Svitlana Mayboroda
Nontangential estimates on layer potentials and the Neumann problem for higher order elliptic equations
Ariel Barton, Steve Hofmann, Svitlana Mayboroda
Stability of square root domains associated with elliptic systems of PDEs on nonsmooth domains
Fritz Gesztesy, Steve Hofmann, Roger Nichols
Generalized local Tb Theorems for Square Functions, and applications
Ana Grau de la Herran, Steve Hofmann
The Green function estimates for strongly elliptic systems of second order
Steve Hofmann, Seick Kim
Layer potentials and boundary value problems for elliptic equations with complex $L^{\infty}$ coefficients satisfying the small Carleson measure norm condition
Steve Hofmann, Svitlana Mayboroda, Mihalis Mourgoglou
The Calderón Commutator Along a Parabola
Anthony Carbery, Steve Hofmann, James Wright
Uniform Rectifiability and Harmonic Measure III: Riesz transform bounds imply uniform rectifiability of boundaries of 1-sided NTA domains
Steve Hofmann, José MarÃa Martell, Svitlana Mayboroda
Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in $L^p$
Steve Hofmann, José MarÃa Martell
Vertical versus conical square functions
Pascal Auscher, Steve Hofmann, José Maria Martell
Square function/non-tangential maximal function estimates and the dirichlet problem for non-symmetric elliptic operators
Steve Hofmann, Carlos Kenig, Svitlana Mayboroda +1
Second order elliptic operators with complex bounded measurable coefficients in $L^p$, Sobolev and Hardy spaces
Steve Hofmann, Svitlana Mayboroda, Alan McIntosh
Kato square root problem with unbounded leading coefficients
Luis Escauriaza, Steve Hofmann
Uniform rectifiability and $\varepsilon$-approximability of harmonic functions in $L^p$
Steve Hofmann, Olli Tapiola
Absolute continuity between the surface measure and harmonic measure implies rectifiability
Steve Hofmann, José Maria Martell, Svitlana Mayboroda +2
On square root domains for non-self-adjoint Sturm-Liouville operators
Fritz Gesztesy, Steve Hofmann, Roger Nichols
Riesz transform on manifolds and heat kernel regularity
Pascal Auscher, Thierry Coulhon, Xuan Thinh Duong +1
Dirichlet and Neumann boundary values of solutions to higher order elliptic equations
Ariel Barton, Steve Hofmann, Svitlana Mayboroda
A Singular Integral approach to a Two Phase Free Boundary Problem
Simon Bortz, Steve Hofmann
Uniform rectifiability and harmonic measure II: Poisson kernels in $L^p$ imply uniform rectifiability
Steve Hofmann, José MarÃa Martell, Ignacio Uriarte-Tuero
Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems
Pascal Auscher, Andreas Axelsson, Steve Hofmann
Uniform Rectifiability, Carleson measure estimates, and approximation of harmonic functions
Steve Hofmann, Jose Maria Martell, Svitlana Mayboroda
Rectifiability of harmonic measure
Jonas Azzam, Steve Hofmann, José MarÃa Martell +4
$A_\infty$ implies NTA for a class of variable coefficient elliptic operators
Steve Hofmann, José MarÃa Martell, Tatiana Toro
BMO solvability and absolute continuity of harmonic measure
Steve Hofmann, Phi Le
Perturbations of elliptic operators in 1-sided chord-arc domains. Part I: Small and large perturbation for symmetric operators
Juan Cavero, Steve Hofmann, José MarÃa Martell
$L^p$-Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets
Steve Hofmann, Dorina Mitrea, Marius Mitrea +1
Square function estimates on layer potentials for higher-order elliptic equations
Ariel Barton, Steve Hofmann, Svitlana Mayboroda
The method of layer potentials in $L^p$ and endpoint spaces for elliptic operators with $L^\infty$ coefficients
Steve Hofmann, Marius Mitrea, Andrew J. Morris