A C2-estimate for solutions of complex Monge-Ampère equations.
A Caccioppoli estimate and fine continuity for superminimizers on metric spaces.
A class of Dirichlet forms generated by pseudo differential operators.
A constant in pluripotential theory
We compute the constant sup : P a polynomial in , where S denotes the euclidean unit sphere in and σ its unitary surface measure.
A convergence theorem for Dirichlet forms with applications to boundary value problems with varying domains.
A Counterexample to the Strong Subadditivity of Extremal Plurisubharmonic Functions.
A dual characterization of length spaces with application to Dirichlet metric spaces
We show that under minimal assumptions, the intrinsic metric induced by a strongly local Dirichlet form induces a length space. The main input is a dual characterization of length spaces in terms of the property that the 1-Lipschitz functions form a sheaf.
A family of exactly solvable radial quantum systems on space of non-constant curvature with accidental degeneracy in the spectrum.
A general Choquet–Deny theorem for nilpotent groups
A general continuity principle
A generalization of the Phragmén-Lindelöf principle for elliptic differential equations.
A generalized Nevanlinna theorem for supertemperatures.
A Hilbert Lemniscate Theorem in
For a regular, compact, polynomially convex circled set in , we construct a sequence of pairs of homogeneous polynomials in two variables with
A large Wiener sausage from crumbs.
A Levy-Khinchin Formula for Semigroups with Involutions.
A Local Property of L-regular Sets.
A Local Version of Levenberg's Theorem on Determining Measures and Leja's Polynomial Condition.
A lower bound for the gradient of -harmonic functions.
A mixed boundary value problem for heat potentials (Preliminary communication)
A new characterization of the analytic surfaces in that satisfy the local Phragmén-Lindelöf condition
We prove that an analytic surface in a neighborhood of the origin in satisfies the local Phragmén-Lindelöf condition at the origin if and only if satisfies the following two conditions: (1) is nearly hyperbolic; (2) for each real simple curve in and each , the (algebraic) limit variety satisfies the strong Phragmén-Lindelöf condition. These conditions are also necessary for any pure -dimensional analytic variety to satisify .