Discrete sequences in unbounded domains

Alberto Saracco

Discrete sequences in unbounded domains

Complex Variables 2016-01-18 v1

Authors: Alberto Saracco

Abstract

Discrete sequences with respect to the Kobayashi distance in a strongly pseudoconvex bounded domain $D$ are related to Carleson measures by a formula that uses the Euclidean distance from the boundary of $D$ . Thus the speed of escape at the boundary of such sequence has been studied in details for strongly pseudoconvex bounded domain $D$ . In this note we show that such estimations completely fail if the domain is not bounded.

Keywords

pseudoconvex domains

Cite

@article{arxiv.1601.03836,
  title  = {Discrete sequences in unbounded domains},
  author = {Alberto Saracco},
  journal= {arXiv preprint arXiv:1601.03836},
  year   = {2016}
}

Comments

4 pages

Related papers

View all related →