$$L^p$$ regularity of Toeplitz operators on generalized Hartogs triangles

Abstract

We obtain \(L^p\) estimates for Toeplitz operators on the generalized Hartogs triangles \(\mathbb {H}_\gamma = \{(z_1,z_2) \in \mathbb {C}^2\,{:}\, |z_1|^\gamma \!< |z_2|<1\}\) 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.