Toeplitz operators on monomial polyhedra

Monomial polyhedra are a class of bounded singular Reinhardt domains defined as sublevel sets of holomorphic monomials. In this paper, we completely characterize the \(L^p-L^q\) $L^p-L^q$ boundedness of the Toeplitz operators with radial symbols on monomial polyhedra. This work generalizes the previous results of Toeplitz operators on various generalized Hartogs triangles, as well as extends the recent work of the \(L^p\) $L^p$ regularity for the Bergman projection on monomial polyhedra.