Teoremi di confronto di tipo Harnack per funzioni armoniche in domini con frontiera hölderiana
The Berezin transform and operators on spaces of analytic functions
In this article we will illustrate how the Berezin transform (or symbol) can be used to study classes of operators on certain spaces of analytic functions, such as the Hardy space, the Bergman space and the Fock space. The article is organized according to the following outline. 1. Spaces of analytic functions 2. Definition and properties Berezin transform 3. Berezin transform and non-compact operators 4. Commutativity of Toeplitz operators 5. Berezin transform and Hankel or Toeplitz operators 6....
The Cauchy transform of continuous linear functionals and projections on the weighted spaces of analytic functions.
The Convergence of Even Degree Spline Collocation Solution for Potential Problems in Smooth Domains of the Plane.
The converse of the Fatou theorem for smooth measures.
The current situation in the linear problem of Molodenskii
Si prova l'esistenza di un'unica soluzione debole che dipende con continuità dai dati al contorno per il problema lineare di Molodenskii in approssimazione quasi sferica, nel caso che la superficie al contorno soddisfi una condizione di cono. Si segue un approccio costruttivo diretto, che generalizza una procedura precedentemente elaborata per il problema semplice di Molodenskii. Inoltre si prova che la soluzione ha derivate prime a quadrato integrabile al contorno, il che è essenziale per le applicazioni...
The Dirichlet problem for harmonic functions with boundary values from Zygmund classes.
The Dirichlet problem for harmonic maps from the disk into the euclidean n-sphere
The Dirichlet problem for the biharmonic equation in a Lipschitz domain
In this paper we study and give optimal estimates for the Dirichlet problem for the biharmonic operator , on an arbitrary bounded Lipschitz domain in . We establish existence and uniqueness results when the boundary values have first derivatives in , and the normal derivative is in . The resulting solution takes the boundary values in the sense of non-tangential convergence, and the non-tangential maximal function of is shown to be in .
The fall of the doubling condition in Calderón-Zygmund theory.
The most important results of standard Calderón-Zygmund theory have recently been extended to very general non-homogeneous contexts. In this survey paper we describe these extensions and their striking applications to removability problems for bounded analytic functions. We also discuss some of the techniques that allow us to dispense with the doubling condition in dealing with singular integrals. Special attention is paid to the Cauchy Integral.[Proceedings of the 6th International Conference on...
The Functional Equation
The Generalized Ahlfors-Heins Theorem in Certain d-Dimensional Cones.
The inverse problem for elliptic equations from Dirichlet to Neumann map in multiply connected domains.
The Martin compactification of a plane domain
We prove that the Martin compactification of a plane domain is homeomorphic to a subset of the two-dimensional sphere.
The Method of Lines for Poisson's Equation with Nonlinear or Free Boundary Conditions.
The minimum modulus of a subharmonic function
The Neumann problem for the 2-D Helmholtz equation in a domain, bounded by closed and open curves.
The Poisson Space of the Koranyi Ball.
The problem and singular integrals on Orlicz spaces
The regularity of the trace for minimal surfaces