English

On boundary properties of asymptotically holomorphic functions

Complex Variables 2022-04-13 v1

Abstract

We prove a Fatou type theorem for bounded functions with d_J -bar differential of a controled growth on smoothly bounded domains in an almost complex manifold.

Keywords

Cite

@article{arxiv.2203.07810,
  title  = {On boundary properties of asymptotically holomorphic functions},
  author = {Alexandre Sukhov},
  journal= {arXiv preprint arXiv:2203.07810},
  year   = {2022}
}

Comments

12 pages. arXiv admin note: substantial text overlap with arXiv:1808.04266, arXiv:2202.02538, arXiv:1807.09763