Some Estimates of Rough Bilinear Fractional Integral. (20th November 2012)

• Record Type: Journal Article
• Authors: Fan, Yun; Gao, Guilian
• Other Names: Xiao Ti-Jun Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 2012(2012)
• Publication Date: 2012-11-20
• Subjects: Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2012/406540
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : We study the boundedness of rough bilinear fractional integral B Ω, α on Morrey spaces L p, λ ( ℝ n ) and modified Morrey spaces L ~ p, λ ( ℝ n ) and obtain some sufficient and necessary conditions on the parameters. Furthermore, we consider the boundedness of B Ω, α on generalized central Morrey space B ˙ p, φ ( ℝ n ) . These extend some known results.