Riemann-Liouville and Higher Dimensional Hardy Operators for NonNegative Decreasing Function in Lp(·) Spaces. (26th August 2014)

• Record Type: Journal Article
• Authors: Sarwar, Muhammad; Murtaza, Ghulam; Ahmed, Irshaad
• Other Names: Yoshida Norio Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-08-26
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/621857
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : One-weight inequalities with general weights for Riemann-Liouville transform and n -dimensional fractional integral operator in variable exponent Lebesgue spaces defined on R n are investigated. In particular, we derive necessary and sufficient conditions governing one-weight inequalities for these operators on the cone of nonnegative decreasing functions in L p ( x ) spaces.