We determine a range of p for which there is Lp-continuity of the Bergman projector in the tube domain over Vinberg's cone. This is the simplest example of a homogeneous non-symmetric cone. Our main tool is the existence of a suitable isometry between the cone and its dual.
1
Dept. of Mathematics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon
David Békollé; Cyrille Nana. Lp-Boundedness of Bergman Projections in the Tube Domain over Vinberg's Cone. Journal of Lie Theory, Tome 17 (2007) no. 1, pp. 115-144. http://geodesic.mathdoc.fr/item/JOLT_2007_17_1_a7/
@article{JOLT_2007_17_1_a7,
author = {David B\'ekoll\'e and Cyrille Nana},
title = {L\protect\textsuperscript{p}-Boundedness of {Bergman} {Projections} in the {Tube} {Domain} over {Vinberg's} {Cone}},
journal = {Journal of Lie Theory},
pages = {115--144},
year = {2007},
volume = {17},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JOLT_2007_17_1_a7/}
}
TY - JOUR
AU - David Békollé
AU - Cyrille Nana
TI - Lp-Boundedness of Bergman Projections in the Tube Domain over Vinberg's Cone
JO - Journal of Lie Theory
PY - 2007
SP - 115
EP - 144
VL - 17
IS - 1
UR - http://geodesic.mathdoc.fr/item/JOLT_2007_17_1_a7/
ID - JOLT_2007_17_1_a7
ER -
%0 Journal Article
%A David Békollé
%A Cyrille Nana
%T Lp-Boundedness of Bergman Projections in the Tube Domain over Vinberg's Cone
%J Journal of Lie Theory
%D 2007
%P 115-144
%V 17
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2007_17_1_a7/
%F JOLT_2007_17_1_a7
