A Weighted Variant of Riemann‐Liouville Fractional Integrals on ℝn | Zendy

Zunwei Fu | Zendy; Shan Zhen Lu | Zendy; Wen Yuan | Zendy

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A Weighted Variant of Riemann‐Liouville Fractional Integrals on ℝⁿ

Author(s) -

Zunwei Fu,

Shan Zhen Lu,

Wen Yuan

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/780132

Subject(s) - mathematics , riemann hypothesis , fractional calculus , pure mathematics , mathematical analysis , mathematical physics

We introduce certain type of weighted variant of Riemann-Liouvillefractional 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 functionsso that commutators of weighted Hardy operators (with symbols in λ-central BMO space) are bounded on the central Morrey spaces. These results are further used to prove sharp estimatesof some inequalities due to Weyl and Cesàro

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