Geodesic
The optimal constant in the L 2 Folland-Stein inequality on the quaternionic Heisenberg group
Ivanov, Stefan1  ; Minchev, Ivan2  ; Vassilev, Dimiter3 
1 University of Sofia Faculty of Mathematics and Informatics   blvd. James Bourchier 5 1164, Sofia, Bulgaria
2 University of Sofia Sofia, Bulgaria and Mathematik und Informatik Philipps-Universität Marburg Hans-Meerwein-Str. / Campus Lahnberge 35032 Marburg, Germany
3 Department of Mathematics and Statistics University of New Mexico Albuquerque, New Mexico, 87131-0001
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 11 (2012) no. 3, pp. 635-652

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We determine the best (optimal) constant in the L 2 Folland-Stein inequality on the quaternionic Heisenberg group and the non-negative functions for which equality holds.

Publié le :
Classification : 58G30, 53C17

Ivanov, Stefan 1 ; Minchev, Ivan 2 ; Vassilev, Dimiter 3

1 University of Sofia Faculty of Mathematics and Informatics   blvd. James Bourchier 5 1164, Sofia, Bulgaria
2 University of Sofia Sofia, Bulgaria and Mathematik und Informatik Philipps-Universität Marburg Hans-Meerwein-Str. / Campus Lahnberge 35032 Marburg, Germany
3 Department of Mathematics and Statistics University of New Mexico Albuquerque, New Mexico, 87131-0001 
@article{ASNSP_2012_5_11_3_635_0,
     author = {Ivanov, Stefan and Minchev, Ivan and Vassilev, Dimiter},
     title = {The optimal constant in the $L^2$ {Folland-Stein} inequality on the quaternionic {Heisenberg} group},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {635--652},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 11},
     number = {3},
     year = {2012},
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     zbl = {1276.53057},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ASNSP_2012_5_11_3_635_0/}
}
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Ivanov, Stefan; Minchev, Ivan; Vassilev, Dimiter. The optimal constant in the $L^2$ Folland-Stein inequality on the quaternionic Heisenberg group. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 11 (2012) no. 3, pp. 635-652. http://geodesic.mathdoc.fr/item/ASNSP_2012_5_11_3_635_0/