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