论文标题
Pisier不平等的基本阐述
An Elementary Exposition of Pisier's Inequality
论文作者
论文摘要
皮西耶（Pisier）的不平等是对规范空间的研究，并且在几何形状中具有重要的应用。我们提供了这种不平等的基本证明，该证明避免了以前的证明的一些非构造步骤。我们的目标是使不平等及其证据更容易获得，因为我们认为他们会找到其他应用程序。我们对离散立方体上有限函数的傅立叶频谱的新型限制进行了证明。
Pisier's inequality is central in the study of normed spaces and has important applications in geometry. We provide an elementary proof of this inequality, which avoids some non-constructive steps from previous proofs. Our goal is to make the inequality and its proof more accessible, because we think they will find additional applications. We demonstrate this with a new type of restriction on the Fourier spectrum of bounded functions on the discrete cube.
