Finely Open Morphisms of H-Cones.
Fonctions biharmoniques adjointes
The study of the equation (L₂L₁)*h = 0 or of the equivalent system L*₂h₂ = -h₁, L*₁h₁ = 0, where is a second order elliptic differential operator, leads us to the following general framework: Starting from a biharmonic space, for example the space of solutions (u₁,u₂) of the system L₁u₁ = -u₂, L₂u₂ = 0, being elliptic or parabolic, and by means of its Green pairs, we construct the associated adjoint biharmonic space which is in duality with the initial one.
Full-Hyperharmonic Structures on Harmonic Spaces. II.
Full-Hyperharmonic Structures on Harmonie Spaces. I.
Functional approach to the Brelot-Keldych theorem
Functions continuous in the fine topology for the heat equation
Generalized Dirichlet Problems and Continuous Selections of Representing Measures.
Harmonic morphisms and non-linear potential theory
Originally, harmonic morphisms were defined as continuous mappings φ:X → X' between harmonic spaces such that h'∘φ remains harmonic whenever h' is harmonic, see [1], p. 20. In general linear axiomatic potential theory, one has to replace harmonic functions h' by hyperharmonic functions u' in this definition, in order to obtain an interesting class of mappings, see [3], Remark 2.3. The modified definition appears to be equivalent with the original one, provided X' is a Bauer space, i.e., a harmonic...
Harmonic Spaces Associated with Non-Symmetric Translation Invariant Dirichlet Forms.
Harmonic spaces associated with parabolic and elliptic differential operators.
Harmonie Functions of Bounded Mean Oscillation.
Harnack Sets and Openness of Harmonie Morphisms.
Harnack's properties of biharmonic functions
Study of the equicontinuity of biharmonic functions, of the Harnack's principle and inequalities, and of their relations.
Hitting distributions domination and subordinate resolvents; an analytic approach
We give an analytic version of the well known Shih's theorem concerning the Markov processes whose hitting distributions are dominated by those of a given process. The treatment is purely analytic, completely different from Shih's arguments and improves essentially his result (in the case when the given processes are transient
Homogeneous random measures and strongly supermedian kernels of a Markov process.
Hunt's Theorem and Axiomatic Potential Theory.
Indefinite harmonic continuation
Inégalités liées au principe du maximum
Integral Formulas for the ... ....-Equation and Zeros of Bounded Holomorphic Functions in the Unit Ball.
Integral representation for a class of multiply superharmonic functions
Let be harmonic spaces of Brelot with countable base of completely determining domains. The elements of a subcone of the cone of positive -superharmonic functions in is shown to have an integral representation with the aid of Radon measures on the extreme elements belonging to a compact base of . The extreme elements are shown to be the product of extreme superharmonic functions on the component spaces and the measure representing each element is shown to be unique. Necessary and sufficient...