Bergman spaces under maps of monomial type

Alexander Nagel, Malabika Pramanik

For appropriate domains ${\Omega }_1,{\Omega }_2$ we consider mappings ${\Phi }_{\mathbf{A}}:{\Omega }_1\to {\Omega }_2$ of monomial type. We obtain an orthogonal decomposition of the Bergman space $\mathcal A^{…