Temps locaux et l'intégrale d'aire de Lusin
Teoremi di confronto di tipo Harnack per funzioni armoniche in domini con frontiera hölderiana
The atomic decomposition of harmonic functions satisfying certain conditions of integrability.
The boundary-value problems for Laplace equation and domains with nonsmooth boundary
Dirichlet, Neumann and Robin problem for the Laplace equation is investigated on the open set with holes and nonsmooth boundary. The solutions are looked for in the form of a double layer potential and a single layer potential. The measure, the potential of which is a solution of the boundary-value problem, is constructed.
The Brothers Riesz theorem in and Laplace series.
The Cauchy transform of continuous linear functionals and projections on the weighted spaces of analytic functions.
The Dynamics of Inner Functions. / Claus I. Doering; Ricardo Mané.
The evolution and Poisson kernels on nilpotent meta-abelian groups
Let S be a semidirect product S = N⋊ A where N is a connected and simply connected, non-abelian, nilpotent meta-abelian Lie group and A is isomorphic to , k>1. We consider a class of second order left-invariant differential operators on S of the form , where , and for each is left-invariant second order differential operator on N and , where Δ is the usual Laplacian on . Using some probabilistic techniques (e.g., skew-product formulas for diffusions on S and N respectively) we obtain an...
The General Riesz Decomposition and the Specific Order of Excessive Functions.
The Generalized Ahlfors-Heins Theorem in Certain d-Dimensional Cones.
The Pluripolar Hull and the Fine Topology
We show that the projections of the pluripolar hull of the graph of an analytic function in a subdomain of the complex plane are open in the fine topology.
Théorème de Keldych dans la théorie axiomatique de Bauer des fonctions harmoniques