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2012•Journal of Hengyang Normal UniversityRequires access

Continuity for Maximal Multilinear Commutator of Bochner-Riesz Operator on Hardy and Herz-Hardy Spaces

Guangze Gu

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Abstract

In this paper,the(Hp(b→),Lp),(Hp,∞(b→),Lp,∞)and(HKα,pq,(b→),Kα,pq)-type continuity for the maximal multilinear commutator associated with the Bochner-Riesz operator are obtained by the atomic decompositions of the spaces.

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What this paper is about

In this paper,the(Hp(b→),Lp),(Hp,∞(b→),Lp,∞)and(HKα,pq,(b→),Kα,pq)-type continuity for the maximal multilinear commutator associated with the Bochner-Riesz operator are obtained by the atomic decompositions of the spaces.

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Available abstract

In this paper,the(Hp(b→),Lp),(Hp,∞(b→),Lp,∞)and(HKα,pq,(b→),Kα,pq)-type continuity for the maximal multilinear commutator associated with the Bochner-Riesz operator are obtained by the atomic decompositions of the spaces.

Key concepts: Commutator, Multilinear map, Hardy space, Mathematics, Operator (biology), Pure mathematics, Mathematical analysis, Algebra over a field

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