Reducing sub-modules of the Bergman module ${\mathbb{A}}^{(\lambda )}({\mathbb{D}}^n)$ under the action of the symmetric group

Shibananda Biswas, Gargi Ghosh, Gadadhar Misra +1

The weighted Bergman spaces on the polydisc, ${\mathbb{A}}^{(\lambda )}({\mathbb{D}}^n)$, $\lambda >0,$ splits into orthogonal direct sum of subspaces $\mathbb P_{\boldsymbol p}\big(\mathbb A^{(λ)}(\m…