An oscillating multiplier on Herz type spaces |
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Authors: | Wei Cao Li-jing Sun |
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Institution: | CAO Wei 1 SUN Li-jing 21 Department of Mathematics,Zhejiang University,Hangzhou 310027,China 2 Department of Mathematical Science,University of Wisconsin-Milwaukee,Milwaukee,WI 53217,USA |
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Abstract: | In this paper, the boundedness of an oscillating multiplier m
γ,β
for different β on the Herz type spaces is obtained. This operator was initially studied by Wainger and Fefferman-Stein. Our results extend
one of the main results in a paper by Xiaochun Li and Shanzhen Lu for the non-weighted case, if β is close to 1 or α is suitably large. For β ≥ 1, the results with no weights on the Herz type spaces are also new. |
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Keywords: | Oscillating multiplier Herz space atomic decomposition |
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