English

Duality and Interpolation of Bergman Spaces

Complex Variables 2024-05-21 v1

Abstract

This paper explores the dual space corresponding to p-Bergman space and examines the essential condition for the dual space to be a q-Bergman space. The investigation involves a detailed examination of the interpolation space of a Banach couple. Additionally, we draw comparisons between the `duality', `integrability' and `regularity' properties of a domain.

Keywords

Cite

@article{arxiv.2405.11113,
  title  = {Duality and Interpolation of Bergman Spaces},
  author = {Shreedhar Bhat},
  journal= {arXiv preprint arXiv:2405.11113},
  year   = {2024}
}