On the cohomology of sheaves SεL
On meromorphic functions with values in locally convex spaces
On the extension of continuous linear maps in function spaces and the splitness of Dolbeaut complexes of holomorphic Banach bundles
Cohomology groups of sheaves SεL and splitness of Dolbeault complexes of sheaves
Holomorphic mappings of uniformly bounded type and the linear topological invariants , and .
On locally m-convex algebras of type ES
Lifting vector-valued maps
Riemann domains over Stein spaces
On the extension of holomorphic functions on a locally convex space
On the extension of holomorphic maps with values in a complex Lie group
On the extension of Lipschitz maps with values in a Fréchet space
Lifting uniformly continuous maps with values in nuclear Fréchet spaces
On the extension of holomorphic maps on locally convex spaces with values in Fréchet spaces
Convolution operators in infinite dimension.
Lipschitz extensions and Lipschitz retractions in metric spaces
Meromorphic extension spaces
The aim of the present paper is to study meromorphic extension spaces. The obtained results allow us to get the invariance of meromorphic extendibility under finite proper surjective holomorphic maps.
The property (H) and (Ω) with the exponential representation of holomorphic functions.
The main aim of this paper is to prove that a nuclear Fréchet space E has the property (H) (resp. (Ω)) if and only if every holomorphic function on E (resp. on some dense subspace of E) can be written in the exponential form.
Structure of spaces of germs of holomorphic functions.
Let E be a Frechet (resp. Frechet-Hilbert) space. It is shown that E ∈ (Ω) (resp. E ∈ (DN)) if and only if [H(O)]' ∈ (Ω) (resp. [H(O)]' ∈ (DN)). Moreover it is also shown that E ∈ (DN) if and only if H(E') ∈ (DN). In the nuclear case these results were proved by Meise and Vogt [2].
A note on Alexander's theorem.
ω-pluripolar sets and subextension of ω-plurisubharmonic functions on compact Kähler manifolds
We establish some results on ω-pluripolarity and complete ω-pluripolarity for sets in a compact Kähler manifold X with fundamental form ω. Moreover, we study subextension of ω-psh functions on a hyperconvex domain in X and prove a comparison principle for the class 𝓔(X,ω) recently introduced and investigated by Guedj-Zeriahi.
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