An oscillating multiplier on Herz type spaces  

作　　者：CAO Wei SUN Li-jing 

机构地区：[1]Department of Mathematics, Zhejiang University, Hangzhou 310027, China [2]Department of Mathematical Science, University of Wisconsin-Milwaukee, Milwaukee, WI 53217 USA

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2011年第1期93-103,共11页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China (10931001, 10871173)

摘　　要：In this paper, the boundedness of an oscillating multiplier mγ,β for different β on the Herz type spaces is obtained. This operator was initially studied by Wainger and FeffermanStein. 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.In this paper, the boundedness of an oscillating multiplier mγ,β for different β on the Herz type spaces is obtained. This operator was initially studied by Wainger and FeffermanStein. 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.

关 键 词：Oscillating multiplier Herz space atomic decomposition. 

分 类 号：O174.2[理学—数学] O121.4[理学—基础数学]