6 citations · 12 across the 6 of their papers we have counts for
8 papers
Equivalence between VMO functions and plurisubharmonic functions with zero Lelong numbers
Séverine Biard, Jujie Wu
We prove that a plurisubharmonic function on a domain in the complex Euclidean space is a locally VMO (Vanishing Mean Oscillation) function if and only if its Lelong number at each…
A residue formula for meromorphic connections and applications to stable sets of foliations
Masanori Adachi, Séverine Biard, Judith Brinkschulte
We discuss residue formulae that localize the first Chern class of a line bundle to the singular locus of a given holomorphic connection. As an application, we explain a proof for…
On Levi flat hypersurfaces with transversely affine foliation
Masanori Adachi, Severine Biard
We prove the non-existence of real analytic Levi flat hypersurface whose complement is 1-convex and Levi foliation is transversely affine in compact Kahler surfaces.
Weighted version of Mergelyan and Carleman approximation
Séverine Biard, John Erik Fornæss, Jujie Wu
We study the density of polynomials in , the space of square integrable functions with respect to and holomorphic on the interior of in , where…
Weighted- polynomial approximation in
Séverine Biard, John Erik Fornæss, Jujie Wu
We study the density of polynomials in , the space of square integrable holomorphic functions in a bounded domain in , where is a subharmonic fun…
Estimates for the complex Green operator: symmetry, percolation, and interpolation
Séverine Biard, Emil J. Straube
Let be a pseudoconvex, oriented, bounded and closed CR submanifold of of hypersurface type. We show that Sobolev estimates for the complex Green operator hold…
-Sobolev theory for the complex Green operator
Séverine Biard, Emil J. Straube
These notes are concerned with the -Sobolev theory of the complex Green operator on pseudoconvex, oriented, bounded and closed CR--submanifolds of of hypers…
Non existence of Levi flat hypersurfaces with positive normal bundle in compact Kähler manifolds of dimension at least 3
Séverine Biard, Andrei Iordan
We prove that the normal bundle to the Levi foliation of a smooth Levi flat hypersurface does not admit a Hermitian metric with positive curvature along the leaves in compact Kähle…