English

$L^p$ Regularity of Toeplitz Operators on Generalized Hartogs Triangles

Complex Variables 2023-10-18 v1 Functional Analysis

Abstract

We obtain LpL^p estimates for Toeplitz operators on the generalized Hartogs triangles Hγ={(z1,z2)C2:z1γ<z2<1}\mathbb{H}_\gamma = \{(z_1,z_2) \in \mathbb{C}^2: |z_1|^\gamma < |z_2|<1\} for two classes of positive radial symbols, one a power of the distance to the origin, and the other a power of the distance to the boundary.

Keywords

Cite

@article{arxiv.2009.07260,
  title  = {$L^p$ Regularity of Toeplitz Operators on Generalized Hartogs Triangles},
  author = {Meijke Balay and Trent Neutgens and Nick Rosen and Nathan A. Wagner and Yunus E. Zeytuncu},
  journal= {arXiv preprint arXiv:2009.07260},
  year   = {2023}
}

Comments

13 pages

R2 v1 2026-06-23T18:33:59.930Z