论文标题
双曲线横层多项式的积分规范的离散化
Sampling discretization of integral norms of the hyperbolic cross polynomials
论文作者
论文摘要
该论文致力于从给定有限维尺寸的子空间中离散功能的积分规范。我们在抽样离散化方面使用最新的一般结果来得出新的Marcinkiewicz类型 多元三角多项式的离散定理，具有来自双曲线交叉的频率。结果表明，最近开发的技术使我们能够在这个方向上改善已知结果。
The paper is devoted to discretization of integral norms of functions from a given finite dimensional subspace. We use recent general results on sampling discretization to derive a new Marcinkiewicz type discretization theorem for the multivariate trigonometric polynomials with frequencies from the hyperbolic crosses. It is shown that recently developed techniques allow us to improve the known results in this direction.
