【摘 要】
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The aim of this paper is to establish the necessary and sufficient conditions for the compactness of fractional integral commutator[b,Iγ]which is generated by fractional integral Iγ and function b ∈ Lipβ (μ) on Morrey space over non-homogeneous metric mea
【机 构】
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College of Mathematics and Statistics,Northwest Normal University,Gansu 730070,P.R.China
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The aim of this paper is to establish the necessary and sufficient conditions for the compactness of fractional integral commutator[b,Iγ]which is generated by fractional integral Iγ and function b ∈ Lipβ (μ) on Morrey space over non-homogeneous metric measure space,which satisfies the geometrically doubling and upper doubling conditions in the sense of Hyt(o)nen.Under assumption that the dominating function λ satisfies weak reverse doubling condition,the author proves that the commutator[b,Iγ]is compact from Morrey space Mpq(μ) into Morrey space Mst (μ) if and only if b ∈ Lipβ (μ).
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