spaces in tubes and distributional boundary values
spaces on bounded symmetric domains
H² spaces of generalized half-planes
H² spaces of generalized half-planes
H² spaces of generalized half-planes
Halbstetigkeitssätze für relativ analytische Räume.
Half-twists and equations in genus 2.
Hamiltonian stability and subanalytic geometry
In the 70’s, Nekhorochev proved that for an analytic nearly integrable Hamiltonian system, the action variables of the unperturbed Hamiltonian remain nearly constant over an exponentially long time with respect to the size of the perturbation, provided that the unperturbed Hamiltonian satisfies some generic transversality condition known as steepness. Using theorems of real subanalytic geometry, we derive a geometric criterion for steepness: a numerical function which is real analytic around a...
Hankel operators and the Dixmier trace on strictly pseudoconvex domains.
Hankel operators and weak factorization for Hardy-Orlicz spaces
We study the holomorphic Hardy-Orlicz spaces , where Ω is the unit ball or, more generally, a convex domain of finite type or a strictly pseudoconvex domain in ℂⁿ. The function Φ is in particular such that for some p > 0. We develop maximal characterizations, atomic and molecular decompositions. We then prove weak factorization theorems involving the space BMOA(Ω). As a consequence, we characterize those Hankel operators which are bounded from into ¹(Ω).
Hankel Operators on Bergman Spaces with Change of Weight.
Harder-Narasimhan filtrations and optimal destabilizing vectors in complex geometry
We give here a generalization of the theory of optimal destabilizing 1-parameter subgroups to non algebraic complex geometry : we consider holomorphic actions of a complex reductive Lie group on a finite dimensional (possibly non compact) Kähler manifold. In a second part we show how these results may extend in the gauge theoretical framework and we discuss the relation between the Harder-Narasimhan filtration and the optimal detstabilizing vectors of a non semistable object....
Hardy spaces and analytic continuation of Bergman spaces
Hardy spaces of analytic multifunctions.
Hardy spaces on two-sheeted covering semigroups.
Harmonic and analytic functions admitting a distribution boundary value
Harmonic Bergman kernel for some balls.
Harmonic diffeomorphisms and Teichmüller theory.
Harmonic functions on classical rank one balls
In questo articolo studieremo le relazioni fra le funzioni armoniche nella palla iperbolica (sia essa reale, complessa o quaternionica), le funzione armoniche euclidee in questa palla, e le funzione pluriarmoniche sotto certe condizioni di crescita. In particolare, estenderemo al caso quaternionico risultati anteriori dell'autore (nel caso reale), e di A. Bonami, J. Bruna e S. Grellier (nel caso complesso).
Harmonic majorants for plurisubharmonic functions on bounded symmetric domains with applications to the spaces H... and N*.