Analytical extensions of the members of the Bergman and Szegö spaces on some tube domains (Q809232)

For the tube domain in \({\mathbb{C}}^ n\) over the unit ball in \({\mathbb{R}}^ n\), the authors use Fourier analysis to compute norms of functions in the Bergman space and in the Szegö space. In particular, they show that the norm of a function in the Szegö space is at least as large as \(\sqrt{n}\) times its norm in the Bergman space.