Commutator Theorems for Fractional Integral Operators on Weighted Morrey Spaces

Zhiheng Wang and Zengyan Si

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:413716

DOI: 10.1155/2014/413716

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