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2004•Journal of Zhejiang University(Sciences Edition)Requires access

Boundedness of the θ-type Calderón-Zygmund operators on the Herz-type Hardy spaces.

Qingxian Chen

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Abstract

T is the θ-type Calderon-Zygmund operator. By the atom-molecule theory of the Herz-type Hardy spaces, the boundedness on the Herz-type Hardy spaces for the θ-type Calderon-Zygmund operator is studied. It is proved that T is (H~(α,p)_q(R~n),K·~(α,p)_q(R~n)) and (HK·~(α,p)_q(R~n),HK·~(α,p)_q(R~n)) bounded.

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T is the θ-type Calderon-Zygmund operator. By the atom-molecule theory of the Herz-type Hardy spaces, the boundedness on the Herz-type Hardy spaces for the θ-type Calderon-Zygmund operator is studied. It is proved that T is (H~(α,p)_q(R~n),K·~(α,p)_q(R~n)) and (HK·~(α,p)_q(R~n),HK·~(α,p)_q(R~n)) bounded.

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Available abstract

T is the θ-type Calderon-Zygmund operator. By the atom-molecule theory of the Herz-type Hardy spaces, the boundedness on the Herz-type Hardy spaces for the θ-type Calderon-Zygmund operator is studied. It is proved that T is (H~(α,p)_q(R~n),K·~(α,p)_q(R~n)) and (HK·~(α,p)_q(R~n),HK·~(α,p)_q(R~n)) bounded.

Key concepts: Hardy space, Mathematics, Type (biology), Bounded function, Maximal operator, Operator (biology), Pure mathematics, Combinatorics

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Boundedness of the θ-type Calderón-Zygmund operators on the Herz-type Hardy spaces. — Research Paper | ScholarLens