English

On Bergman type projection in some new analytic function spaces in bounded strongly pseudoconvex domains

Complex Variables 2025-08-28 v1

Abstract

We prove the boundedness of Bergman type projections in two different analytic function spaces in bounded strongly pseudoconvex domains with the smooth boundary. Our results were previously well-known in the case of the unit disk.

Keywords

Cite

@article{arxiv.2506.20913,
  title  = {On Bergman type projection in some new analytic function spaces in bounded strongly pseudoconvex domains},
  author = {R. F. Shamoyan and E. B. Tomashevskaya},
  journal= {arXiv preprint arXiv:2506.20913},
  year   = {2025}
}
R2 v1 2026-07-01T03:33:51.560Z