多线性奇异积分算子在广义Morrey空间上的精确估计

Sharp estimates for multi-linear singular integral operators on generalized Morrey spaces

给出了广义多范数Morrey空间的定义,运用新的分环方法得到了多线性奇异积分算子是从广义多范数Morrey空间到广义Morrey空间上的有界算子;对于端点情形,也得到了一个弱性的结果.

The definition of generalized multi-norm Morrey space is established in this paper.It is proved that multi-linear singular integral operators are bounded from generalized multi-norm Morrey space to generalized Morrey space.Furthermore,a weak type of endpoint estimate is also obtained.