Composition of Potentials with Inner Functions.
Let ,B and Qβ be the weighted Nevanlinna space, the Bloch space and the Q space, respectively. Note that B and are Möbius invariant, but is not. We characterize, in function-theoretic terms, when the composition operator induced by an analytic self-map ϕ of the unit disk defines an operator , , which is bounded resp. compact.
It is proved that if F is a convex closed set in ℂⁿ, n ≥2, containing at most one (n-1)-dimensional complex hyperplane, then the Kobayashi metric and the Lempert function of ℂⁿ∖ F identically vanish.
The energy class is studied for 0 < p < 1. A characterization of certain bounded plurisubharmonic functions in terms of and its pluricomplex p-energy is proved.
On décrit trois types de conditions permettant de stratifier un morphisme analytique complexe :1) différentielles, à la Thom-Whitney,2) géométriques, demandant l’équidimensionnalité de certains diviseurs exceptionnels obtenus à partir de l’espace conormal relatif ou de la modification de Nash relative de ,3) numériques, exigeant la constance d’invariants de le long des states.On donne une méthode générale permettant d’exprimer et de démontrer des équivalences entre des conditions de chaque...
Nous introduisons de nouvelles régularités de Kuo-Verdier et montrons que pour une stratification
We give a characterization of conformal blocks in terms of the singular cohomology of suitable smooth projective varieties, in genus for classical Lie algebras and .