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

Zhao, Guoping, Guo, Weichao

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.

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