English

The Bergman projection on fat Hartogs triangles: L^p boundedness

Complex Variables 2016-05-23 v2

Abstract

A class of pseudoconvex domains in Cn\mathbb{C}^{n} generalizing the Hartogs triangle is considered. The LpL^p boundedness of the Bergman projection associated to these domains is established, for a restricted range of pp depending on the "fatness" of domains. This range of pp is shown to be sharp.

Keywords

Cite

@article{arxiv.1502.07302,
  title  = {The Bergman projection on fat Hartogs triangles: L^p boundedness},
  author = {L. D. Edholm and J. D. McNeal},
  journal= {arXiv preprint arXiv:1502.07302},
  year   = {2016}
}
R2 v1 2026-06-22T08:38:05.458Z