多线性分数次积分算子有界的充分必要条件 |
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摘 要: | 令ω∈A_1,0αmn和0β1满足条件α+βmn.又设1p_1,…,pm∞使得1/q=1/p-(α+β)/n0并且1/p=1/p_1+…+1/p_m.这时我们有b∈Lip_β(ω)×…×Lip_β(ω)当且仅当由多线性分数次算子I_α与函数向量b生成的线性交换子Σb,I_α]是从L~(p_1)(ω)×…×L~(p_m)(ω)到L~q(ω~((1-(1-α/n)q))有界的.
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Necessary and Sufficient Conditions for Boundedness of Commutators of Multilinear Fractional Integral Operators |
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