article · BOA (University of Milano-Bicocca) · 2021

Holomorphic function spaces on the Hartogs triangle

Cited by 9Abstract and details only

Abstract

The definition of classical holomorphic function spaces such as the Hardy space or the Dirichlet space on the Hartogs triangle is not canonical. In this paper we introduce a natural family of holomorphic function spaces on the Hartogs triangle which includes some weighted Bergman spaces, a candidate Hardy space and a candidate Dirichlet space. For the weighted Bergman spaces and the Hardy space we study the (Formula presented.) mapping properties of Bergman and Szegő projection respectively, whereas for the Dirichlet space we prove it is isometric to the Dirichlet space on the bidisc.

Cite this paper

APA 7

Monguzzi, A. (2021). Holomorphic function spaces on the Hartogs triangle. BOA (University of Milano-Bicocca). https://doi.org/10.1002/mana.201900477

MLA 9

Monguzzi, Alessandro. “Holomorphic function spaces on the Hartogs triangle.” BOA (University of Milano-Bicocca), 2021, https://doi.org/10.1002/mana.201900477.

Chicago

Monguzzi, Alessandro. 2021. “Holomorphic function spaces on the Hartogs triangle.” BOA (University of Milano-Bicocca). https://doi.org/10.1002/mana.201900477.

Harvard

Monguzzi, A. (2021) ‘Holomorphic function spaces on the Hartogs triangle’, BOA (University of Milano-Bicocca). Available at: https://doi.org/10.1002/mana.201900477.

BibTeX

@article{monguzzi2021holomorphic,
  title = {{Holomorphic function spaces on the Hartogs triangle}},
  author = {Monguzzi, Alessandro},
  journal = {BOA (University of Milano-Bicocca)},
  year = {2021},
  doi = {10.1002/mana.201900477}
}

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