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An Endpoint Estimates for Commutators of Fractional Integral

Xuemin Wang

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Abstract

Let 0β1,αβ,0αn-β,qnn-α.If p=nn+β,we show that the commutator associated with the fractional integral Iα and b∈Lipβ(Rn) is bounded from local Hardy space hp(Rn) to hp(Rn)+Lq(Rn).

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What this paper is about

Let 0β1,αβ,0αn-β,qnn-α.If p=nn+β,we show that the commutator associated with the fractional integral Iα and b∈Lipβ(Rn) is bounded from local Hardy space hp(Rn) to hp(Rn)+Lq(Rn).

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Available abstract

Let 0β1,αβ,0αn-β,qnn-α.If p=nn+β,we show that the commutator associated with the fractional integral Iα and b∈Lipβ(Rn) is bounded from local Hardy space hp(Rn) to hp(Rn)+Lq(Rn).

Key concepts: Mathematics, Fractional calculus, Applied mathematics, Mathematical analysis

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