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On fractional maximal function and fractional integral on the Laguerre hypergroup    
Yazarlar
 Vagıf GULIYEV Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
M. N. Omarova
Özet
Let K = [0, infinity) x R be the Laguerre hypergroup which is the fundamental manifold of the radial function space for the Heisen-berg group. In this paper we obtain necessary and sufficient conditions on the parameters for the boundedness of the fractional maximal operator and the fractional integral 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). (c) 2007 Elsevier Inc. All rights reserved.
Anahtar Kelimeler
Besov space | 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 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Dergi ISSN 0022-247X
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 04-2008
Cilt No 340
Sayı 2
Sayfalar 1058 / 1068
Doi Numarası 10.1016/j.jmaa.2007.09.012