Bergman and Hardy spaces with small exponents (Q1318486)

Let \(B\) be the open unit ball in \(\mathbb{C}^ n\) and let \(H^ p(B)\) (resp. \(L^ p (B, dv_ \alpha)\) denote the Hardy space (resp. the weighted Bergman space) on \(B\), where \(0<p<1\) and \(\alpha>-1\). The author provides a description of the dual spaces of the spaces \(H^ p(B)\) and \(L^ p(B, dv_ \alpha)\) under certain volume integral pairing in terms of Bloch functions. Also, he hopes that this approach could be carried out to bounded symmetric domains \(B\).