分数次Hardy算子在变指数Herz-Morrey空间中的有界性

Boundedness of Fractional Hardy Type Operators on Herz-Morrey Spaces with Variable Exponent

证明了n维分数次Hardy算子H_β和H_(β~*)从变指数Herz-Morrey空间MK(_p_1,q_1(·)~α,λ)(R^n)到MK_(p_2,q_2(·)~α,λ)(R^n)的有界性.对n维Hardy算子也建立了相应的结果.

In this paper, the boundedness of the fractional Hardy operator Hβ and Hβ from the Herz-Morrey space with variable exponent MK^α,λp1,q1（.）（Rn） to MK^α,λp2,q2（.）（R^n） is studied. The similar results for n-dimensional Hardy operators are also established