English

Sobolev mapping of some holomorphic projections

Complex Variables 2020-04-09 v2

Abstract

Sobolev irregularity of the Bergman projection on a family of domains containing the Hartogs triangle is shown. On the Hartogs triangle itself, a sub-Bergman projection is shown to satisfy better Sobolev norm estimates than its Bergman projection.

Keywords

Cite

@article{arxiv.1904.04383,
  title  = {Sobolev mapping of some holomorphic projections},
  author = {L. D. Edholm and J. D. McNeal},
  journal= {arXiv preprint arXiv:1904.04383},
  year   = {2020}
}
R2 v1 2026-06-23T08:33:36.191Z