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Two-Weight, Weak-Type Norm Inequalities for Fractional Integral Operators and Commutators on Weighted Morrey and Amalgam Spaces

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  • Hua Wang

Abstract

Let and be the fractional integral operator of order γ , and let be the linear commutator generated by a symbol function b and , . This paper is concerned with two-weight, weak-type norm estimates for such operators on the weighted Morrey and amalgam spaces. Based on weak-type norm inequalities on weighted Lebesgue spaces and certain - type conditions on pairs of weights, we can establish the weak-type norm inequalities for fractional integral operator as well as the corresponding commutator in the framework of weighted Morrey and amalgam spaces. Furthermore, some estimates for the extreme case are also obtained on these weighted spaces.

Suggested Citation

  • Hua Wang, 2020. "Two-Weight, Weak-Type Norm Inequalities for Fractional Integral Operators and Commutators on Weighted Morrey and Amalgam Spaces," Abstract and Applied Analysis, Hindawi, vol. 2020, pages 1-23, June.
    • Handle: RePEc:hin:jnlaaa:3235942
    DOI: 10.1155/2020/3235942
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