Fractional integral operator on modulation and Wiener amalgam spaces

Journal of inequalities and applications

Meifang Cheng¹ 

关键词: fractional integral operator;    weighted modulation space;    bilinear fractional integral operator;    Wiener amalgam space;    42B20;    42B25;   

DOI  :  10.1186/s13660-015-0872-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this paper is to investigate the mapping properties of the fractional integral operators on weighted modulation spaces. Based on this result, we also study the boundedness of the bilinear fractional integral operators on product Wiener amalgam spaces. Our results show that, besides modulation spaces, Wiener amalgam spaces are good substitutions for Lebesgue spaces.

【 授权许可】

CC BY