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(Lp, Lq) Boundedness of the fractional maximal operator associated with the Dunkl operator on the real line   
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Y. Y. Mammadov
Özet
On the real line, the Dunkl operators are differential-difference operators associated with the reflection group Z(2) on R. In this paper, we obtain necessary and sufficient conditions on the parameters for the boundedness of the fractional maximal operator associated with the Dunkl operator on R from the spaces L-p,L-alpha(R) to the spaces L-q,L-alpha(R) and from the spaces L-1,L-alpha(R) to the weak spaces W L-q,L-alpha(R).
Anahtar Kelimeler
Dunkl operator | Dunkl transform | Fractional integral operator | Fractional maximal operator | Generalized translation operator
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 01-2010
Cilt No 21
Sayı 8
Sayfalar 629 / 639
Doi Numarası 10.1080/10652460903507248