Generalized Besov type spaces on the Laguerre hypergroup

Miloud Assal[1]; Hacen Ben Abdallah[2]

  • [1] IPEIN. Campus Universitaire Département de Mathématiques Mrezka 8000 Nabeul Tunisia
  • [2] Faculté des Sciences de Bizerte Département de Mathématiques Zarzouna 7021 Bizerte Tunisia

Annales mathématiques Blaise Pascal (2005)

  • Volume: 12, Issue: 1, page 117-145
  • ISSN: 1259-1734

Abstract

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In this paper we study generalized Besov type spaces on the Laguerre hypergroup and we give some characterizations using different equivalent norms which allows to reach results of completeness, continuous embeddings and density of some subspaces. A generalized Calderón-Zygmund formula adapted to the harmonic analysis on the Laguerre Hypergroup is obtained inducing two more equivalent norms.

How to cite

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Assal, Miloud, and Ben Abdallah, Hacen. "Generalized Besov type spaces on the Laguerre hypergroup." Annales mathématiques Blaise Pascal 12.1 (2005): 117-145. <http://eudml.org/doc/10507>.

@article{Assal2005,
abstract = {In this paper we study generalized Besov type spaces on the Laguerre hypergroup and we give some characterizations using different equivalent norms which allows to reach results of completeness, continuous embeddings and density of some subspaces. A generalized Calderón-Zygmund formula adapted to the harmonic analysis on the Laguerre Hypergroup is obtained inducing two more equivalent norms.},
affiliation = {IPEIN. Campus Universitaire Département de Mathématiques Mrezka 8000 Nabeul Tunisia; Faculté des Sciences de Bizerte Département de Mathématiques Zarzouna 7021 Bizerte Tunisia},
author = {Assal, Miloud, Ben Abdallah, Hacen},
journal = {Annales mathématiques Blaise Pascal},
keywords = {Besov type spaces; Laguerre hypergroup; radial functions; Heisenberg group},
language = {eng},
month = {1},
number = {1},
pages = {117-145},
publisher = {Annales mathématiques Blaise Pascal},
title = {Generalized Besov type spaces on the Laguerre hypergroup},
url = {http://eudml.org/doc/10507},
volume = {12},
year = {2005},
}

TY - JOUR
AU - Assal, Miloud
AU - Ben Abdallah, Hacen
TI - Generalized Besov type spaces on the Laguerre hypergroup
JO - Annales mathématiques Blaise Pascal
DA - 2005/1//
PB - Annales mathématiques Blaise Pascal
VL - 12
IS - 1
SP - 117
EP - 145
AB - In this paper we study generalized Besov type spaces on the Laguerre hypergroup and we give some characterizations using different equivalent norms which allows to reach results of completeness, continuous embeddings and density of some subspaces. A generalized Calderón-Zygmund formula adapted to the harmonic analysis on the Laguerre Hypergroup is obtained inducing two more equivalent norms.
LA - eng
KW - Besov type spaces; Laguerre hypergroup; radial functions; Heisenberg group
UR - http://eudml.org/doc/10507
ER -

References

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