English

Extremal problems for vanishing functions in Bergman spaces

Complex Variables 2022-08-23 v2

Abstract

We prove two sharp estimates for the subspace of a standard weighted Bergman space that consists of functions vanishing at a given point (with prescribed multiplicity).

Keywords

Cite

@article{arxiv.2012.05091,
  title  = {Extremal problems for vanishing functions in Bergman spaces},
  author = {Adrián Llinares and Dragan Vukotić},
  journal= {arXiv preprint arXiv:2012.05091},
  year   = {2022}
}

Comments

A few typos have been corrected in this version

R2 v1 2026-06-23T20:50:48.673Z