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2009•Shuxue de shijian yu renshiRequires access

The Boundedness of Fractional Integral Operator on Local Hardy Spaces

Xuemin Wang

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Abstract

Let 0αn,n/(n+α)p≤1,qn/(n-α),we show that the fractional integrals Iα is a boundedness linear map from local Hardy space hp(Rn) to hp(Rn)+Lq(Rn).

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What this paper is about

Let 0αn,n/(n+α)p≤1,qn/(n-α),we show that the fractional integrals Iα is a boundedness linear map from local Hardy space hp(Rn) to hp(Rn)+Lq(Rn).

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Available abstract

Let 0αn,n/(n+α)p≤1,qn/(n-α),we show that the fractional integrals Iα is a boundedness linear map from local Hardy space hp(Rn) to hp(Rn)+Lq(Rn).

Key concepts: Mathematics, Hardy space, Fractional calculus, Operator (biology), Maximal operator, Pure mathematics, Mathematical analysis, Applied mathematics

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