Schwartz spaces associated with some non-differential convolution operators on homogeneous groups
Jacek Dziubański (1992)
Colloquium Mathematicae
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Jacek Dziubański (1992)
Colloquium Mathematicae
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Hoheisel, J., Stroppel, M. (2003)
Journal of Lie Theory
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Waldemar Hebisch, Jacek Zienkiewicz (1996)
Colloquium Mathematicae
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We prove that on a product of generalized Heisenberg groups, a Hörmander type multiplier theorem for Rockland operators is true with the critical index n/2 + ϵ, ϵ>0, where n is the euclidean (topological) dimension of the group.
Miloud Assal, Hacen Ben Abdallah (2005)
Annales mathématiques Blaise Pascal
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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.
Tyutyanov, V.N. (2000)
Siberian Mathematical Journal
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Khisamiev, N.G. (2009)
Sibirskij Matematicheskij Zhurnal
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Jacek Dziubański (1993)
Colloquium Mathematicae
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Warhurst, Ben (2005)
Journal of Lie Theory
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Jaikin-Zapirain, A., Khukhro, E.I. (2000)
Sibirskij Matematicheskij Zhurnal
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Kondrat'ev, A.S., Mazurov, V.D. (2000)
Siberian Mathematical Journal
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