English

Irregularity of the Bergman projection on worm domains in C^n

Complex Variables 2021-03-08 v3

Abstract

We construct higher-dimensional versions of the Diederich-Fornaess worm domains and show that the Bergman projection operators for these domains are not bounded on high-order LpL^p-Sobolev spaces for 1p<.1\leq p<\infty.

Keywords

Cite

@article{arxiv.1007.5513,
  title  = {Irregularity of the Bergman projection on worm domains in C^n},
  author = {David Barrett and Sonmez Sahutoglu},
  journal= {arXiv preprint arXiv:1007.5513},
  year   = {2021}
}

Comments

some typos are corrected, to appear in Michigan Math. J