论文标题
阶段空间本地化操作员
Phase space localizing operators
论文作者
论文摘要
我们在所有维度上构建相位空间定位运算符。这些是与二元停止时间有关的条件期望运算符的频率局部变体。我们的构建是对Muscalu，Tao和第三作者的所谓相位平面投影的改进。此类操作员的动机来自时频分析。它们特别用于证明多线性调制不变型操作员的统一估计。
We construct phase space localizing operators in all dimensions. These are frequency localized variants of the conditional expectation operator related to a dyadic stopping time. Our construction is an improvement over the so-called phase plane projections of Muscalu, Tao and the third author in one dimension. The motivation for such operators comes from time-frequency analysis. They are used in particular to prove uniform estimates for multilinear modulation invariant operators.
