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Necessary and sufficient conditions for the boundedness of rough B-fractional integral operators in the Lorentz spaces    
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Ayhan Serbetci
Ismail Ekincioglu
Özet
In this paper, the necessary and sufficient conditions are found for the boundedness of the rough B-fractional interal operators from the Lorentz spaces L (P.s.gamma) to L (q ,r ,gamma) , 1 < p < q < infinity, 1 <= r <= s <= infinity, and from L-1 .r . gamma to L-q,L- infinity,L-gamma W L-q,L-gamma, 1 < q < infinity, 1 <= r <= infinity. As a consequence of this, the same results are given for the fractional B-maximal operator and B-Riesz potential. (c) 2007 Elsevier Inc. All rights reserved.
Anahtar Kelimeler
B-convolution | B-fractional integral | Fractional B-maximal function | Laplace-Bessel differential operator | Lorentz space | O'Neil type inequality
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 12-2007
Cilt No 336
Sayı 1
Sayfalar 425 / 437
Doi Numarası 10.1016/j.jmaa.2007.02.080