English

Polynomial approximation in weighted Dirichlet spaces

Complex Variables 2020-11-06 v1 Functional Analysis

Abstract

We give an elementary proof of an analogue of Fej\'er's theorem in weighted Dirichlet spaces with superharmonic weights. This provides a simple way of seeing that polynomials are dense in such spaces.

Keywords

Cite

@article{arxiv.2011.02844,
  title  = {Polynomial approximation in weighted Dirichlet spaces},
  author = {Javad Mashreghi and Thomas Ransford},
  journal= {arXiv preprint arXiv:2011.02844},
  year   = {2020}
}
R2 v1 2026-06-23T19:56:17.292Z