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Commutator Theorems for Fractional Integral Operators on Weighted Morrey Spaces

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  • Zhiheng Wang
  • Zengyan Si

Abstract

Let be the infinitesimal generator of an analytic semigroup on with Gaussian kernel bounds, and let be the fractional integrals of for . For any locally integrable function , the commutators associated with are defined by . When (weighted space) or , the authors obtain the necessary and sufficient conditions for the boundedness of on weighted Morrey spaces, respectively.

Suggested Citation

  • Zhiheng Wang & Zengyan Si, 2014. "Commutator Theorems for Fractional Integral Operators on Weighted Morrey Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, June.
    • Handle: RePEc:hin:jnlaaa:413716
    DOI: 10.1155/2014/413716
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