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- 2016
变指标Herz型空间上分数次积分的Lipschitz交换子
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Abstract:
摘要： 利用分数次积分交换子和Riesz位势在变指标Lebesgue空间有界的结果,基于变指标Herz-Hardy空间上的原子分解理论,以及Lipschitz函数的特征和经典的不等式估计,证明了分数次积分交换子是从变指标Herz-Hardy空间到变指标Herz空间的有界性。
Abstract: By the boundedness of commutators for fractional integrals with Lipschitz functions and the Riesz potential on variable Lebesgue spaces, based on the atomic decomposition of Herz-type Hardy spaces with variable exponents, using the properties of Lipschitz functions and the estimations of the classical inequalities, we proved that the Lipschitz commutators of fractional integrals are bounded from Herz-type Hardy spaces with variable exponents to variable Herz spaces
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