2005Journal of Anhui Normal UniversityRequires access

BOUNDEDNESS OF THE MARCINKIEWICZ INTEGRAL ON THE SPACE OF FUNCTIONS OF WEIGHTED BOUNDED

Shu Li-sheng

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Abstract

In this paper, we will prove the boundedness of the Marcinkiewicz integral μ_Ω on the space of Functions of weighted bounded mean Oscillation. Here Ω is homogeneous of degree zero satistying, the Lip_α-conditions or a class of L~q-Dini conditions.

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What this paper is about

In this paper, we will prove the boundedness of the Marcinkiewicz integral μ_Ω on the space of Functions of weighted bounded mean Oscillation. Here Ω is homogeneous of degree zero satistying, the Lip_α-conditions or a class of L~q-Dini conditions.

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Available abstract

In this paper, we will prove the boundedness of the Marcinkiewicz integral μ_Ω on the space of Functions of weighted bounded mean Oscillation. Here Ω is homogeneous of degree zero satistying, the Lip_α-conditions or a class of L~q-Dini conditions.

Key concepts: Bounded mean oscillation, Bounded function, Mathematics, Homogeneous, Space (punctuation), Zero (linguistics), Class (philosophy), Mathematical analysis

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