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- Université Toulouse III - Paul SabatierFR936 papers
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9 papers · 2 filters
A viscosity approach to the Dirichlet problem for degenerate complex Hessian type equations
Slawomir Dinew, Hoang-Son Do, Tat Dat To
A viscosity approach is introduced for the Dirichlet problem associated to complex Hessian type equations on domains in $\C^n$. The arguments are modelled on the theory of viscosit…
Pluripotential theory on the support of closed positive currents and applications to dynamics in
Frédéric Protin
We extend certain classical theorems in pluripotential theory to a class of functions defined on the support of a -closed positive current , analogous to plurisubharmonic…
Skew Carleson measures in strongly pseudoconvex domains
Marco Abate, Jasmin Raissy
Given a bounded strongly pseudoconvex domain in with smooth boundary, we give a characterization through products of functions in weighted Bergman spaces of $(λ,…
Composite quasianalytic functions
André Belotto da Silva, Edward Bierstone, Michael Chow
We prove two main results on Denjoy-Carleman classes: (1) a composite function theorem which asserts that a function f(x) in a quasianalytic Denjoy-Carleman class Q, which is forma…
Adiabatic Limit and the Frölicher Spectral Sequence
Dan Popovici
Motivated by our conjecture of an earlier work predicting the degeneration at the second page of the Frölicher spectral sequence of any compact complex manifold supporting an SKT m…
ŁS condition for filled Julia sets in
Frédéric Protin
In this article, we derive an inequality of Łojasiewicz-Siciak type for certain sets arising in the context of the complex dynamics in dimension 1. More precisely, if we denote by…