论文标题
限制派系最大运算符和粗糙内核分数积分的弱型行为
Limiting weak-type behaviors for factional maximal operators and fractional integrals with rough kernel
论文作者
论文摘要
通过减少方法,建立了派系最大运算符和分数积分的限制弱类型行为,而没有任何平滑性假设在内核上,这基本上可以改善和扩展先前的结果。作为副产品,我们通过其在Sphere上的Lebesgue空间中的内核成员身份来表征几位运营商的界限。
By a reduction method, the limiting weak-type behaviors of factional maximal operators and fractional integrals are established without any smoothness assumption on the kernel, which essentially improve and extend previous results. As a byproduct, we characterize the boundedness of several operators by the membership of their kernel in Lebesgue space on sphere.