Layer potentials on boundaries with corners and edges
Littlewood-Paley-Stein theory on Cn and Weyl multipliers.
Note on contractivity of the Neumann operator
On essential norm of the Neumann operator
One of the classical methods of solving the Dirichlet problem and the Neumann problem in is the method of integral equations. If we wish to use the Fredholm-Radon theory to solve the problem, it is useful to estimate the essential norm of the Neumann operator with respect to a norm on the space of continuous functions on the boundary of the domain investigated, where this norm is equivalent to the maximum norm. It is shown in the paper that under a deformation of the domain investigated by a diffeomorphism,...
On Exceptional Sets for Superharmonic Functions in a Halfspace: An Inverse Problem.
On harmonic continuation of differentiable functions defined on a part of the boundary.
On harmonic majorization of the Martin function at infinity in a cone
This paper shows that some characterizations of the harmonic majorization of the Martin function for domains having smooth boundaries also hold for cones.
On pseudospheres.
On the convergence of Neumann series for noncompact operators
On the Neumann operator of the arithmetical mean.
Optimal stability for inverse elliptic boundary value problems with unknown boundaries
Problème de Neumann sur les espaces harmoniques.
Regularity of a free boundary with application to the Pompeiu problem.
Regularizing sets of irregular points.
Rotation-free solutions with positive infimum of the equation ...u = Pu in a neighbourhood of a singularity of the density P.
Some examples concerning applicability of the Fredholm-Radon method in potential theory
Simple examples of bounded domains are considered for which the presence of peculiar corners and edges in the boundary causes that the double layer potential operator acting on the space of all continuous functions on can for no value of the parameter be approximated (in the sub-norm) by means of operators of the form (where is the identity operator and is a compact linear operator) with a deviation less then ; on the other hand, such approximability turns out to be possible for...
Some properties of functions with bounded mean oscillation
Some remarks on the existence of a resolvent
Noting that a resolvent is associated with a convolution kernel satisfying the domination principle if and only if has the dominated convergence property, we give some remarks on the existence of a resolvent.
Stability of Lewis and Vogel's result.
Sul problema di Dirichlet in un cono per l’equazione