论文标题
连续污染Sobolev正交多项式中傅立叶系列的乘数定理
Multiplier Theorem for Fourier Series in continuous-discrete Sobolev orthogonal polynomials
论文作者
论文摘要
在论文中，我们研究了连续污染Sobolev空间中多项式正交中傅立叶序列的乘数。获得了傅立叶 - 贝贝尔夫系列的乘数定理。该结果基于fejér内核的表示，基于“驼背专业人士”的构建和最大功能的加权估计。
In the paper we study the multipliers of Fourier series in polynomials orthogonal in continuous-discrete Sobolev's spaces. Multiplier Theorem for Fourier-Sobolev series is obtained. This result is based on the representation of the Fejér kernel, on the construction of the "humpbacked majorant" and weighted estimates of maximal functions.
