S. Hofmann

activity

19972023

most citedAnalyticity of layer potentials and

L^{2}

solvability of boundary value problems for divergence form elliptic equations with complex

L^{\infty}

coefficients

101 citations · 841 across the 59 of their papers we have counts for

collaborators

Showing 2014Show all

4 papers · 1 filter

math.AP2014

Stability of square root domains associated with elliptic systems of PDEs on nonsmooth domains

Fritz Gesztesy, Steve Hofmann, Roger Nichols

We discuss stability of square root domains for uniformly elliptic partial differential operators $L_{a, Ω, Γ} = - \nabla \cdot a \nabla$ in $L^{2} (Ω)$ , with mixed boundary conditions on…

math.AP2014★ 34 cited

Uniform Rectifiability, Carleson measure estimates, and approximation of harmonic functions

Steve Hofmann, Jose Maria Martell, Svitlana Mayboroda

Let $E \subset R^{n + 1}$ , $n \geq 2$ , be a uniformly rectifiable set of dimension $n$ . Then bounded harmonic functions in $Ω := R^{n + 1} ∖ E$ satisfy Carleson me…

math.CA2014★ 69 cited

A new characterization of chord-arc domains

Jonas Azzam, Steve Hofmann, José María Martell +2

We show that if $Ω \subset R^{n + 1}$ , $n \geq 1$ , is a uniform domain (aka 1-sided NTA domain), i.e., a domain which enjoys interior Corkscrew and Harnack Chain conditions, t…

math.AP2014★ 1 cited

Square Function Estimates in Spaces of Homogeneous Type and on Uniformly Rectifiable Euclidean Sets

Steve Hofmann, Dorina Mitrea, Marius Mitrea +1

We announce a local $T (b)$ theorem, an inductive scheme, and $L^{p}$ extrapolation results for $L^{2}$ square function estimates related to the analysis of integral operators that act…