论文标题
莫雷 - 巴纳奇空间及其应用的双线性积分操作员
Bilinear integral operator on Morrey-Banach spaces and its application
论文作者
论文摘要
在本文中，我们给出了双线性奇异和分数积分运算符在Morrey-Banach空间及其换向器上的确定性，我们证明了此类操作员在Morrey-Banach空间上的界限。此外，还给出了通过双线性换向器在Morrey-Banach空间上的双线性换向器的弹跳的必要条件。作为我们主要结果的应用，我们通过双线性积分算子在加权的莫雷空间和带有可变指数的莫雷空间上的弹跳获得了BMO的必要条件。最后，我们在带有可变指数的Morrey空间上获得了双线性C-Z运算符的界限。
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.
