2008Analysis in Theory and ApplicationsRequires access

On multilinear commutators of Θ-type Calderón-Zygmund operators

Rulong Xie, Lisheng Shu

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Abstract

In this paper, we discuss the multilinear commutator of θ-type Calderón-Zygmund operators, and obtain that this kind of multilinear commutators is bounded from L p (ℝ n ) to L q (ℝ n ), from L p (ℝ n ) to Triebel-Lizorkin spaces and on certain Hardy type spaces.

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What this paper is about

In this paper, we discuss the multilinear commutator of θ-type Calderón-Zygmund operators, and obtain that this kind of multilinear commutators is bounded from L p (ℝ n ) to L q (ℝ n ), from L p (ℝ n ) to Triebel-Lizorkin spaces and on certain Hardy type spaces.

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, we discuss the multilinear commutator of θ-type Calderón-Zygmund operators, and obtain that this kind of multilinear commutators is bounded from L p (ℝ n ) to L q (ℝ n ), from L p (ℝ n ) to Triebel-Lizorkin spaces and on certain Hardy type spaces.

Key concepts: Multilinear map, Commutator, Mathematics, Type (biology), Bounded function, Pure mathematics, Hardy space, Algebra over a field

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