As special cases, we obtain the boundedness of fractional operators.
特别的，我们得到了分数次积分算子的有界性。
For doubling measure, the boundedness of the sub-linear operator plays an important role in many problems.
在双倍测度下，次线性算子有界性问题的研究起到非常重要的作用。
In Chapter 3, we study the boundedness of solutions and the existence of invariant tori for two kinds of isochronous systems.
在第三章中，我们研究了两类等时系统解的有界性和不变环面的存在性。
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