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Strongly Singular Integral Operators on Weighted Hardy Space
Authors:Jun Feng Li  Shan Zhen Lu
Institution:(1) Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China
Abstract:In this paper, we obtain that a strongly singular integral operator is bounded on 
$$
L^{p}_{w} 
$$ space for 1 < p < ∞. We also obtain that a strongly singular integral operator is a bounded operator from 
$$
H^{p}_{w} 
$$ to 
$$
L^{p}_{w} 
$$ for some weight w and 0 < p ≤ 1. And by an atomic decomposition, we obtain that a strongly singular integral operator is a bounded operator on 
$$
H^{p}_{w} 
$$ for some w and 0 < p ≤ 1. Supported by National 973 Program of China (Grant No. 19990751)
Keywords:Strongly singular Calderón–  Zygmund operators  Hardy spaces            A                      p             weight
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