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...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.展开更多
基金Supported by the National Natural Science Foundation of China (10931001, 10871173)
文摘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.
