English

Weighted approximation in $\mathbb{C}$

Complex Variables 2018-11-29 v3

Abstract

We prove that if {φj}j\{ \varphi_j\}_j is a sequence of subharmonic functions which are increasing to some subharmonic function φ\varphi in C\mathbb{C}, then the union of all the weighted Hilbert spaces H(φj)H(\varphi_j) is dense in the weighted Hilbert space H(φ)H(\varphi).

Keywords

Cite

@article{arxiv.1712.01086,
  title  = {Weighted approximation in $\mathbb{C}$},
  author = {Jujie Wu and John Erik Fornæss},
  journal= {arXiv preprint arXiv:1712.01086},
  year   = {2018}
}
R2 v1 2026-06-22T23:05:48.172Z