Yazarlar |
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 |