Abstract
Let II be the upper half-plane inℂ, consider the Bergman space\(\mathcal{A}^2 (II)\), the subspace of all analytic functions fromL 2(II). The complete decomposition ofL 2(II) onto Bergman and Bergman type spaces of poly-analytic and poly-anti-analytic functions is obtained. The orthogonal Bergman type projections onto each of these subspaces are described. Connections with the Hardy spaces and the Szegö projections are established.
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References
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This work was partially supported by CONACYT Project 3114P-E9607, México.