A Phragmén-Lindelöf Type Theorem for a Certain Class of Generalized Subharmonic Functions.
A remark on gradients of harmonic functions.
In any C1,s domain, there is nonzero harmonic function C1 continuous up to the boundary such that the function and its gradient on the boundary vanish on a set of positive measure.
A uniform boundary Harnack inequality on non-tangentially accessible domains.
A uniqueness theorem for invariantly harmonic functions in the unit ball of Cn.
We prove a boundary uniqueness theorem for harmonic functions with respect to Bergman metric in the unit ball of Cn and give an application to a Runge type approximation theorem for such functions.
Analogies entre espaces hyperboliques réels et l’arbre de Bruhat-Tits sur
Angular limits of double layer potentials
Applications of geometric measure theory to the study of Gauss- Weierstrass and Poisson integrals.
Asymptotic behavior of the invariant measure for a diffusion related to an NA group
On a Lie group NA that is a split extension of a nilpotent Lie group N by a one-parameter group of automorphisms A, the heat semigroup generated by a second order subelliptic left-invariant operator is considered. Under natural conditions there is a -invariant measure m on N, i.e. . Precise asymptotics of m at infinity is given for a large class of operators with Y₀,...,Yₘ generating the Lie algebra of S.