Reproducing properties and -estimates for Bergman projections in Siegel domains of type II
David Békollé; Anatole Temgoua Kagou
Studia Mathematica (1995)
- Volume: 115, Issue: 3, page 219-239
- ISSN: 0039-3223
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topBékollé, David, and Temgoua Kagou, Anatole. "Reproducing properties and $L^p$-estimates for Bergman projections in Siegel domains of type II." Studia Mathematica 115.3 (1995): 219-239. <http://eudml.org/doc/216209>.
@article{Békollé1995,
abstract = {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 $A^2$.},
author = {Békollé, David, Temgoua Kagou, Anatole},
journal = {Studia Mathematica},
keywords = {-mapping; weighted Bergman projections; Siegel domains of type II; Plancherel-Gindikin formula},
language = {eng},
number = {3},
pages = {219-239},
title = {Reproducing properties and $L^p$-estimates for Bergman projections in Siegel domains of type II},
url = {http://eudml.org/doc/216209},
volume = {115},
year = {1995},
}
TY - JOUR
AU - Békollé, David
AU - Temgoua Kagou, Anatole
TI - Reproducing properties and $L^p$-estimates for Bergman projections in Siegel domains of type II
JO - Studia Mathematica
PY - 1995
VL - 115
IS - 3
SP - 219
EP - 239
AB - 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 $A^2$.
LA - eng
KW - -mapping; weighted Bergman projections; Siegel domains of type II; Plancherel-Gindikin formula
UR - http://eudml.org/doc/216209
ER -
References
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