一类粗糙核多线性奇异积分算子在齐次Morrey-Herz空间上的有界性

The boundedness of a class of multilinear singular integral operators with rough kernels on homogeneous Morrey-Herz spaces

研究一类粗糙核多线性奇异积分算子在齐次Morrey-Herz空间上的有界性.在关于核的一定假设条件下,通过函数分解技巧,得到奇异积分算子在齐次Morrey-Herz空间上是有界的.

The aim of this paper is to study boundedness of a class of multilinear singular integral operators with rough kernels on the homogeneous Morrey-Herz spaces, Under some assumptions about the kernel, it is proved that the singular integral operator is bounded on the homogeneous Morrey-Herz spaces by using the divide skill of functions.