Reproducing properties and Lp-estimates for Bergman projections in Siegel domains of type II
Békollé, David ; Temgoua Kagou, Anatole
Studia Mathematica, Tome 113 (1995), p. 219-239 / Harvested from The Polish Digital Mathematics Library
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On homogeneous Siegel domains of type II, we prove that under certain conditions, the subspace of a weighted Lp-space (0 < p < ∞) consisting of holomorphic functions is reproduced by a weighted Bergman kernel. We also obtain some Lp-estimates for weighted Bergman projections. The proofs rely on a generalization of the Plancherel-Gindikin formula for the Bergman space A2.

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:216209 
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Békollé, David; Temgoua Kagou, Anatole. Reproducing properties and $L^p$-estimates for Bergman projections in Siegel domains of type II. Studia Mathematica, Tome 113 (1995) pp. 219-239. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv115i3p219bwm/

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