Harmonie Continuation and Removable Singularities in the Axiomatic Potential Theory.
Harmonie Functions of Bounded Mean Oscillation.
Harmonische Formen in einer Matrixvariablen.
Harnack inequalities for Schrödinger operators
Harnack inequality for the Schrödinger problem relative to strongly local Riemannian -homogeneous forms with a potential in the Kato class.
Harnacksche Kegel und Metrik in harmonischen Räumen.
Heat kernel on manifolds with ends
We prove two-sided estimates of heat kernels on non-parabolic Riemannian manifolds with ends, assuming that the heat kernel on each end separately satisfies the Li-Yau estimate.
Henkin measures, Riesz products and singular sets
The mutual singularity problem for measures with restrictions on the spectrum is studied. The -pluriharmonic Riesz product construction on the complex sphere is introduced. Singular pluriharmonic measures supported by sets of maximal Hausdorff dimension are obtained.
Homogeneous extremal function for a ball in ℝ²
We point out relations between Siciak’s homogeneous extremal function and the Cauchy-Poisson transform in case is a ball in ℝ². In particular, we find effective formulas for for an important class of balls. These formulas imply that, in general, is not a norm in ℂ².
Hunt processes and analytic potential theory on rigged Hilbert spaces
Hyperinvariant subspaces of the harmonic Dirichlet space.
Imbedding theorems of Sobolev type in potential theory.
Inégalité de Harnack elliptique sur les graphes
Inegalités de Kato et semi-groups sous-Markoviens.
Inégalités liées au principe du maximum
Inequalities for Bochner's subordinates of two-parameter symmetric Markov processes
Inequalities involving heat potentials and Green functions
We take some well-known inequalities for Green functions relative to Laplace’s equation, and prove not only analogues of them relative to the heat equation, but generalizations of those analogues to the heat potentials of nonnegative measures on an arbitrary open set whose supports are compact polar subsets of . We then use the special case where the measure associated to the potential has point support, in the following situation. Given a nonnegative supertemperature on an open set , we prove...
Infinite divisibility of solutions to some self-similar integro-differential equations and exponential functionals of Lévy processes
We first characterize the increasing eigenfunctions associated to the following family of integro-differential operators, for any α, x>0, γ≥0 and fa smooth function on , where the coefficients ,σ≥0 and the measure ν, which satisfies the integrability condition ∫0∞(1∧r2)ν(dr)<+∞, are uniquely determined by the distribution of a spectrally negative, infinitely divisible random variable, with characteristic exponent ψ. L(γ) is known to be the infinitesimal generator of a positive...
Inner functions in the ball
Invariant metrics and peak functions on pseudoconvex domains of homogeneous finite diagonal type.