BOUNDEDNESS OF THE MARCINKIEWICZ INTEGRAL ON THE SPACE OF FUNCTIONS OF WEIGHTED BOUNDED
Shu Li-sheng
Abstract
Shu Li-sheng
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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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