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A rearrangement estimate for the generalized multilinear fractional integrals   
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Sh. A. Nazirova
Devamını Göster
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