Bilinear integral operator on Morrey-Banach spaces and its application
Functional Analysis
2022-05-17 v2 Classical Analysis and ODEs
Abstract
In this paper, we give the definability of bilinear singular and fractional integral operators on Morrey-Banach space, as well as their commutators and we prove the boundedness of such operators on Morrey-Banach spaces. Moreover, the necessary condition for BMO via the bounedness of bilinear commutators on Morrey-Banach space is also given. As a application of our main results, we get the necessary conditions for BMO via the bounedness of bilinear integral operators on weighted Morrey space and Morrey space with variable exponents. Finally, we obtain the boundedness of bilinear C-Z operator on Morrey space with variable exponents.
Cite
@article{arxiv.2011.01167,
title = {Bilinear integral operator on Morrey-Banach spaces and its application},
author = {Huihui Zhang and Xiangxing Tao and Yandan Zhang and Xiao Yu},
journal= {arXiv preprint arXiv:2011.01167},
year = {2022}
}
Comments
There are some mistankes and errors in this version and we will revise them in our future works