A Weighted Variant of Riemann-Liouville Fractional Integrals on ℝn

We introduce certain type of weighted variant of Riemann-Liouville fractional integral on ℝn and obtain its sharp bounds on the central Morrey and λ-central BMO spaces. Moreover, we establish a sufficient and necessary condition of the weight functions so that commutators of weighted Hardy operators...

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Bibliographic Details
Main Authors: Zun Wei Fu, Shan Zhen Lu, Wen Yuan
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/780132