Littlewood-paley operators on the generalized Lipschitz spaces |
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| Authors: | Shanzhen Lu Changmei Tan Kozo Yabuta |
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| Institution: | (1) Present address: Department of Mathematics, Beijing Normal University, 100875 Beijing, P. R. China;(2) Present address: Department of Mathematics, Nara Women's University, 630 Nara, Japan |
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| Abstract: | Littlewood-Paley operators defined on a new kind of generalized Lipschitz spaces 
0
 ,p
are studied. It is proved that the image of a function under the action of these operators is either equal to infinity almost everywhere or is in
0
,p
, where –n<<1 and 1<p< . |
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| Keywords: | 42B25 |
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