Add to ORKGAbstract. Using the vector field method, we find a more general condition than finite type that implies a local regularity result for the ∂-Neumann operator. In our result, it is possible for an analytic disk to be on the part of the boundary where we have local regularity. 1
Let $\Omega$ be a bounded $C^2$ domain in $\mathbb{R}^n$ and $u\in C(\mathbb{R}^n)$ solves \begin{eq...
We investigate the relaxation, in the $L^1$ topology, of the functional $$ {\mathcal{F}}[u]=\begin{c...
We prove the solvability of boundary value problems for pseudo-differential operators which are semi...
AbstractA theory of global regularity of the ∂¯-Neumann operator is developed which unifies the two ...
AbstractHilbert C⁎-modules are the analogues of Hilbert spaces where a C⁎-algebra plays the role of ...
Abstract. The Bergman projectionon a general bounded, smooth pseudoconvex domain in two complex vari...
Abstract. A Tb theorem is a boundedness criterion for singular integrals, which allows the L2 bounde...
The local zeta regularization allows to treat local divergences appearing in quantum field theory; t...
AbstractWe introduce general estimates for “gain of regularity” of solutions of the ∂¯-Neumann probl...
In strictly pseudoconvex domains with smooth boundary, we prove a commutator relationship between ad...
The local boundary regularity problem of the Bergman projection and kernel function is studied for s...
In strictly pseudoconvex domains with smooth boundary, we prove a commutator rela-tionship between a...
We consider non-linear operators constructed from rigid vector fields. In particular, we study (glob...
ABSTRACT. We review some results on regularity on the boundary in spaces of analytic functions on th...
AbstractWe characterize the boundary value of homegeneous solutions of planar one-sided locally solv...
Let $\Omega$ be a bounded $C^2$ domain in $\mathbb{R}^n$ and $u\in C(\mathbb{R}^n)$ solves \begin{eq...
We investigate the relaxation, in the $L^1$ topology, of the functional $$ {\mathcal{F}}[u]=\begin{c...
We prove the solvability of boundary value problems for pseudo-differential operators which are semi...
AbstractA theory of global regularity of the ∂¯-Neumann operator is developed which unifies the two ...
AbstractHilbert C⁎-modules are the analogues of Hilbert spaces where a C⁎-algebra plays the role of ...
Abstract. The Bergman projectionon a general bounded, smooth pseudoconvex domain in two complex vari...
Abstract. A Tb theorem is a boundedness criterion for singular integrals, which allows the L2 bounde...
The local zeta regularization allows to treat local divergences appearing in quantum field theory; t...
AbstractWe introduce general estimates for “gain of regularity” of solutions of the ∂¯-Neumann probl...
In strictly pseudoconvex domains with smooth boundary, we prove a commutator relationship between ad...
The local boundary regularity problem of the Bergman projection and kernel function is studied for s...
In strictly pseudoconvex domains with smooth boundary, we prove a commutator rela-tionship between a...
We consider non-linear operators constructed from rigid vector fields. In particular, we study (glob...
ABSTRACT. We review some results on regularity on the boundary in spaces of analytic functions on th...
AbstractWe characterize the boundary value of homegeneous solutions of planar one-sided locally solv...
Let $\Omega$ be a bounded $C^2$ domain in $\mathbb{R}^n$ and $u\in C(\mathbb{R}^n)$ solves \begin{eq...
We investigate the relaxation, in the $L^1$ topology, of the functional $$ {\mathcal{F}}[u]=\begin{c...
We prove the solvability of boundary value problems for pseudo-differential operators which are semi...