| Yazarlar |
Vagif S. Guliyev
|
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
| Özet |
| In this paper we prove the O'Neil inequality for the k-linear convolution f circle times g. By using the O'Neil inequality for rearrangements we obtain a pointwise rearrangement estimate of the k-linear convolution. As an application, we obtain necessary and sufficient conditions on the parameters for the boundedness of the k-sublinear fractional maximal operator M-Omega,M-alpha a and k-linear fractional integral operator I-Omega,I-alpha a with rough kernels from the spaces L-p1 x L-p2 x ... x L-pk (R-n) to L-q(R-n). |
| Anahtar Kelimeler |
| Lebesgue space | O'Neil inequality | Rearrangement estimate | Rough k-sublinear fractional maximal function | Rough multilinear fractional integral |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | INTEGRAL EQUATIONS AND OPERATOR THEORY |
| Dergi ISSN | 0378-620X |
| Dergi Grubu | Q2 |
| Makale Dili | İngilizce |
| Basım Tarihi | 04-2008 |
| Cilt No | 60 |
| Sayı | 4 |
| Sayfalar | 485 / 497 |
| Doi Numarası | 10.1007/s00020-008-1576-7 |
| Atıf Sayıları | |
| WoS | 10 |
| SCOPUS | 7 |
| Google Scholar | 14 |
