English

On regularity and irregularity of certain holomorphic singular integral operators

Complex Variables 2019-01-14 v1

Abstract

We survey recent work and announce new results concerning two singular integral operators whose kernels are holomorphic functions of the output variable, specifically the Cauchy-Leray integral and the Cauchy-Szeg\H o projection associated to various classes of bounded domains in Cn\mathbb C^n with n2n\geq 2.

Keywords

Cite

@article{arxiv.1901.03402,
  title  = {On regularity and irregularity of certain holomorphic singular integral operators},
  author = {Loredana Lanzani and Elias M. Stein},
  journal= {arXiv preprint arXiv:1901.03402},
  year   = {2019}
}
R2 v1 2026-06-23T07:08:37.635Z