Necessary and sufficient conditions for the boundedness of rough B-fractional integral operators in the Lorentz spaces
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Ankara Üniversitesi, Türkiye
Dumlupinar Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Mathematical Analysis and Applications (Q1) | ||
| Dergi ISSN | 0022-247X Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 12-2007 |
| Cilt / Sayı / Sayfa | 336 / 1 / 425–437 | DOI | 10.1016/j.jmaa.2007.02.080 |
| 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 |