Geodesic
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

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 32A20, 32A10, 32A25, 32A36
Mots-clés : Bergman spaces, Bergman projections, homogeneous cones, interpolation 
@article{JLT_2007_17_1_JLT_2007_17_1_a7,
     author = {D. B�koll� and C. 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},
     publisher = {mathdoc},
     volume = {17},
     number = {1},
     year = {2007},
     url = {http://geodesic.mathdoc.fr/item/JLT_2007_17_1_JLT_2007_17_1_a7/}
}
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D. B�koll�; C. 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/JLT_2007_17_1_JLT_2007_17_1_a7/