Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
Sh. A. Nazirova
|
Özet |
We study the L-p1 x (Lp2) x center dot center dot center dot x L-pk boundedness of generalized multilinear fractional integrals. An O'Neil type inequality for a kappa-linear integral operator is proved. Using an O'Neil type inequality for a kappa-linear integral operator, we obtain a pointwise rearrangement estimate of generalized multilinear fractional integrals. By way of application we prove a Sobolev type theorem for those integrals. |
Anahtar Kelimeler |
Generalized multilinear fractional integral | Lebesgue space | O'Neil type inequality | Rearrangement estimate |
Makale Türü | Özgün Makale |
Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
Dergi Adı | SIBERIAN MATHEMATICAL JOURNAL |
Dergi ISSN | 0037-4466 |
Dergi Grubu | Q3 |
Makale Dili | İngilizce |
Basım Tarihi | 05-2007 |
Cilt No | 48 |
Sayı | 3 |
Sayfalar | 463 / 470 |
Doi Numarası | 10.1007/s11202-007-0048-7 |
Atıf Sayıları | |
WoS | 7 |
SCOPUS | 6 |