Chen Dong-xiang
Abstract
Let Bδt be Bochner-Riesz operator and Bbδ,* the maximal commutator generated by Bδt and b∈BMO(Rn).In this paper,the authors prove that BBδ,* maps the Herz-type Hardy space HK·n(1-1/q),pq(Rn) continuously into the weak Herz space WK·n(1-1/q),pq(Rn).
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Let Bδt be Bochner-Riesz operator and Bbδ,* the maximal commutator generated by Bδt and b∈BMO(Rn).In this paper,the authors prove that BBδ,* maps the Herz-type Hardy space HK·n(1-1/q),pq(Rn) continuously into the weak Herz space WK·n(1-1/q),pq(Rn).
Key concepts: Commutator, Mathematics, Type (biology), Maximal operator, Operator (biology), Space (punctuation), Pure mathematics, Bochner space