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(Lp, Lq) boundedness of the fractional maximal operator on the Laguerre hypergroup   
Yazarlar
 Vagıf GULIYEV Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Mehriban N. Omarova
Özet
Let = [0, infinity) x R be the Laguerre hypergroup which is the fundamental manifold of the radial function space for the Heisenberg group. In this paper we obtain necessary and sufficient conditions on the parameters for the boundedness of the fractional maximal operator on the Laguerre hypergroup from the spaces L-p(K) to the spaces L-q(K) and from the spaces L-1(K) to the weak spaces WLq(K).
Anahtar Kelimeler
Fourier-Laguerre transform | Fractional integral operator | Fractional maximal operator | Generalized translation operator | Laguerre hypergroup
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
Dergi ISSN 1065-2469
Dergi Grubu Q3
Makale Dili İngilizce
Basım Tarihi 01-2008
Cilt No 19
Sayı 9
Sayfalar 633 / 641
Doi Numarası 10.1080/10652460801948882