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Commutators of Caldern-Zygmund Operator on Weighted Herz Spaces

Shunchao Long

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Abstract

In this paper, it is proved that the commutators generlizing of Caldern-Zygmund singular integral operator and weighted BMO function are bounded from K· α,p q(w 1,w 2) into K· α,p q(w 1,w 3) and from H K · α,p,s q,b (w 1,w 2) into K· α,p q(w 1,w 3) for some ranges of α, p, q.

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What this paper is about

In this paper, it is proved that the commutators generlizing of Caldern-Zygmund singular integral operator and weighted BMO function are bounded from K· α,p q(w 1,w 2) into K· α,p q(w 1,w 3) and from H K · α,p,s q,b (w 1,w 2) into K· α,p q(w 1,w 3) for some ranges of α, p, q.

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Available abstract

In this paper, it is proved that the commutators generlizing of Caldern-Zygmund singular integral operator and weighted BMO function are bounded from K· α,p q(w 1,w 2) into K· α,p q(w 1,w 3) and from H K · α,p,s q,b (w 1,w 2) into K· α,p q(w 1,w 3) for some ranges of α, p, q.

Key concepts: Mathematics, Bounded function, Operator (biology), Maximal operator, Singular integral, Function (biology), Mathematical analysis, Pure mathematics

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