59 citations · 158 across the 11 of their papers we have counts for
12 papers
Quadratic estimates for degenerate elliptic systems on manifolds with lower Ricci curvature bounds and boundary value problems
Pascal Auscher, Andrew J. Morris, Andreas Rosén
Weighted quadratic estimates are proved for certain bisectorial firstorder differential operators with bounded measurable coefficients which are (not necessarily pointwise) accreti…
Solvability for non-smooth Schrödinger equations with singular potentials and square integrable data
Andrew J. Morris, Andrew J. Turner
We develop a holomorphic functional calculus for first-order operators to solve boundary value problems for Schrödinger equations in t…
Unboundedness of potential dependent Riesz transforms for totally irregular measures
Julian Bailey, Andrew J. Morris, Maria Carmen Reguera
We prove that, for totally irregular measures on with , the -dimensional Riesz transform $$ T_{A,μ}^{V}f(x) = \int_{\mathbb{R}^d} \nabla_{1}\mat…
Carleson measure estimates and the Dirichlet problem for degenerate elliptic equations
Steve Hofmann, Phi Le, Andrew J. Morris
We prove that the Dirichlet problem for degenerate elliptic equations in the upper half-space is solvable when …
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 theorem, an inductive scheme, and extrapolation results for square function estimates related to the analysis of integral operators that act…
The method of layer potentials in and endpoint spaces for elliptic operators with coefficients
Steve Hofmann, Marius Mitrea, Andrew J. Morris
We consider layer potentials associated to elliptic operators acting in the upper half-space for , or more generally, in a…