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2008•Journal of Gansu Lianhe UniversityRequires access

Boundedness of the Commutator on Jomogeneous Herz Type Hardy Spaces

HE Ru-bin

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Abstract

The theory of singular integrals especially the commutator of Calderon-Zygmund operator has been extensively applied to the partial differential equations and other pertinent fields. In this paper,the author obtains the boundedness of the commutator on homogeneous Herz type Hardy spaces,where b∈Lipβ(Rn),T is a δ-Calderon-Zygmund operator.

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What this paper is about

The theory of singular integrals especially the commutator of Calderon-Zygmund operator has been extensively applied to the partial differential equations and other pertinent fields. In this paper,the author obtains the boundedness of the commutator on homogeneous Herz type Hardy spaces,where b∈Lipβ(Rn),T is a δ-Calderon-Zygmund operator.

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Available abstract

The theory of singular integrals especially the commutator of Calderon-Zygmund operator has been extensively applied to the partial differential equations and other pertinent fields. In this paper,the author obtains the boundedness of the commutator on homogeneous Herz type Hardy spaces,where b∈Lipβ(Rn),T is a δ-Calderon-Zygmund operator.

Key concepts: Commutator, Mathematics, Hardy space, Type (biology), Homogeneous, Operator (biology), Pure mathematics, Singular integral

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