3 papers
math.CV2019
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…
math.CV2018
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…
math.CV2016
A global approximation result by Al Taylor and the strong openness conjecture in C^n
John Erik Fornæss, Jujie Wu
We improve a global approximation result by Al Taylor in C^n for holomorphic functions in weighted Hilbert spaces. The main tools are a variation of the theorem of Hormander on wei…