S'everine Biard

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math.CV2024

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…

math.CV2019

Weighted $L^{2}$ version of Mergelyan and Carleman approximation

Séverine Biard, John Erik Fornæss, Jujie Wu

We study the density of polynomials in $H^{2} (E, φ)$ , the space of square integrable functions with respect to $e^{- φ} d m$ and holomorphic on the interior of $E$ in $C$ , where…

math.CV2018

Weighted- $L^{2}$ polynomial approximation in $C$

Séverine Biard, John Erik Fornæss, Jujie Wu

We study the density of polynomials in $H^{2} (Ω, e^{- φ})$ , the space of square integrable holomorphic functions in a bounded domain $Ω$ in $C$ , where $φ$ is a subharmonic fun…

Equivalence between VMO functions and plurisubharmonic functions with zero Lelong numbers

Weighted L2 version of Mergelyan and Carleman approximation

Weighted-L2 polynomial approximation in C

Weighted $L^{2}$ version of Mergelyan and Carleman approximation

Weighted- $L^{2}$ polynomial approximation in $C$