Geodesic
Reproducing properties and $L^p$-estimates for Bergman projections in Siegel domains of type II
Studia Mathematica, Tome 115 (1995) no. 3, pp. 219-239 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $A^2$. 
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     author = {David B\'ekoll\'e},
     title = {Reproducing properties and $L^p$-estimates for {Bergman} projections in {Siegel} domains of type {II}},
     journal = {Studia Mathematica},
     pages = {219--239},
     year = {1995},
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     doi = {10.4064/sm-115-3-219-239},
     language = {en},
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David Békollé. Reproducing properties and $L^p$-estimates for Bergman projections in Siegel domains of type II. Studia Mathematica, Tome 115 (1995) no. 3, pp. 219-239. doi: 10.4064/sm-115-3-219-239

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