An oscillating multiplier on Herz type spaces

作者：Cao Wei^*; Sun Li-jing

来源：Applied Mathematics. Series B, A Journal of Chinese Universities, 2011, 26(1): 93-103.

DOI：10.1007/s11766-011-2425-z

• Oscillating multiplier
• Herz space
• atomic decomposition

In this paper, the boundedness of an oscillating multiplier m(gamma,beta) for different beta 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 beta is close to 1 or a is suitably large. For beta >= 1, the results with no weights on the Herz type spaces are also new.

• 出版日期2011-3
• 单位浙江大学