Journal of Lie Theory

no. 1
Lp-Boundedness of Bergman Projections in the Tube Domain over Vinberg's Cone
Journal of Lie Theory, Volume 17 (2007) no. 1, pp. 115-144
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.
DOI: 10.5802/jolt.440
Classification: 32A20, 32A10, 32A25, 32A36
Keywords: Bergman spaces, Bergman projections, homogeneous cones, interpolation 
@article{JOLT_2007_17_1_a7,
     author = {D. B\'ekoll\'e 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},
     year = {2007},
     volume = {17},
     number = {1},
     doi = {10.5802/jolt.440},
     zbl = {1135.32004},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.440/}
}
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%A C. Nana
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D. Békollé; C. Nana. Lp-Boundedness of Bergman Projections in the Tube Domain over Vinberg's Cone. Journal of Lie Theory, Volume 17 (2007) no. 1, pp. 115-144. doi: 10.5802/jolt.440

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