测度图的Plünnecke不等式及其应用
Plünnecke inequalities for measure graphs with applications
摘要：
本文将Petridis关于Plünnecke图不等式的新证明推广到顶点集为测度空间的图.因此，这给出了新的Plünnecke不等式的措施保持行动，使我们能够推导出，通过Furstenberg对应原理，Banach密度估计可数阿贝尔群，改善了那些由金。
英文摘要：
We generalize Petridis's new proof of Plünnecke's graph inequality to graphs whose vertex set is a measure space. Consequently, this gives new Plünnecke inequalities for measure preserving actions which enable us to deduce, via a Furstenberg correspondence principle, Banach density estimates in countable abelian groups that improve on those given by Jin.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
