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2003•Natural Science Journal of Xiangtan UniversityRequires access

The weak estimates of commutators generated by a class of operators with semi-(θ,N)kernel on Hardy-type spaces

Zhou Wei-jun

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Abstract

Assume that is commutator generated by function b∈Lip β(R n) and operator T with semi- (θ,N) kernel. In this Paper the authors discuss the boundedness of from Hardy spaces to weak Lebesgue spaces and from Herz type Hardy spaces to weak Herz spaces.

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Assume that is commutator generated by function b∈Lip β(R n) and operator T with semi- (θ,N) kernel. In this Paper the authors discuss the boundedness of from Hardy spaces to weak Lebesgue spaces and from Herz type Hardy spaces to weak Herz spaces.

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Available abstract

Assume that is commutator generated by function b∈Lip β(R n) and operator T with semi- (θ,N) kernel. In this Paper the authors discuss the boundedness of from Hardy spaces to weak Lebesgue spaces and from Herz type Hardy spaces to weak Herz spaces.

Key concepts: Commutator, Hardy space, Mathematics, Kernel (algebra), Pure mathematics, Lp space, Type (biology), Operator (biology)

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