H² spaces of generalized half-planes

Stephen Vági

Displaying similar documents to “H² spaces of generalized half-planes”

H² spaces of generalized half-planes

Stephen Vági (1977)

Studia Mathematica

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H² spaces of generalized half-planes

A. Korányi, E. Stein (1972)

Studia Mathematica

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Reproducing properties and $L^{p}$ -estimates for Bergman projections in Siegel domains of type II

David Békollé, Anatole Temgoua Kagou (1995)

Studia Mathematica

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On homogeneous Siegel domains of type II, we prove that under certain conditions, the subspace of a weighted $L^{p}$ -space (0 < p < ∞) consisting of holomorphic functions is reproduced by a weighted Bergman kernel. We also obtain some $L^{p}$ -estimates for weighted Bergman projections. The proofs rely on a generalization of the Plancherel-Gindikin formula for the Bergman space $A^{2}$ .