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A rearrangement estimate for the generalized multilinear fractional integrals   
Yazarlar
Prof. Dr. Vagıf GULIYEV 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