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- Title
Fractional integral operator on modulation and Wiener amalgam spaces.
- Authors
Cheng, Meifang; Tao, Wenyu
- Abstract
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.
- Subjects
INTEGRAL operators; OPERATOR theory; SINGULAR integrals; LEBESGUE integral; MEASURE theory
- Publication
Journal of Inequalities & Applications, 2015, Vol 2015, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-015-0872-4