Geodesic
L p -Boundedness of Bergman projections in tube domains over homogeneous cones
Nana, Cyrille1 ; Trojan, Bartosz2
1 University of Buea Faculty of Science Department of Mathematics P.O. Box 63 Buea, Cameroon
2 Institute of Mathematics Wroclaw University Plac Grunwaldzki 2/4 50-384 Wroclaw, Poland
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 10 (2011) no. 2, pp. 477-511

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In this paper, we generalize to all tube domains over homogeneous cones L p -continuity properties of the Bergman projection.

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Classification : 32A20, 32A10, 32A25, 32A36

Nana, Cyrille 1 ; Trojan, Bartosz 2

1 University of Buea Faculty of Science Department of Mathematics P.O. Box 63 Buea, Cameroon
2 Institute of Mathematics Wroclaw University Plac Grunwaldzki 2/4 50-384 Wroclaw, Poland 
@article{ASNSP_2011_5_10_2_477_0,
     author = {Nana, Cyrille and Trojan, Bartosz},
     title = {$L^p${-Boundedness} of {Bergman} projections in tube domains over homogeneous cones},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {477--511},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 10},
     number = {2},
     year = {2011},
     mrnumber = {2856156},
     zbl = {1232.32001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ASNSP_2011_5_10_2_477_0/}
}
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Nana, Cyrille; Trojan, Bartosz. $L^p$-Boundedness of Bergman projections in tube domains over homogeneous cones. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 10 (2011) no. 2, pp. 477-511. http://geodesic.mathdoc.fr/item/ASNSP_2011_5_10_2_477_0/