论文标题
振荡和多项式Carleson操作员的均匀边界
Uniform bounds for oscillatory and polynomial Carleson operators
论文作者
论文摘要
我们证明，各种振荡和多项式Carleson操作员在所考虑的参数家族中均匀地界定。作为我们技术的特殊应用，我们证明了振荡性的Carleson操作员在二次Carleson操作员的单个比例版本附近的振荡范围。
We prove that a variety of oscillatory and polynomial Carleson operators are uniformly bounded on the family of parameters under considerations. As a particular application of our techniques, we prove uniform bounds for oscillatory Carleson operators near a single scale version of the quadratic Carleson operator.
