标题： 连续-离散Sobolev正交多项式的傅里叶级数乘子定理 显示英文标题

标题： Multiplier Theorem for Fourier Series in continuous-discrete Sobolev orthogonal polynomials

摘要： 在论文中，我们研究了在连续-离散Sobolev空间中正交多项式的傅里叶级数的乘子。获得了傅里叶-Sobolev级数的乘子定理。这个结果基于Fejér核的表示，构造“驼背型控制函数”以及最大函数的加权估计。 显示英文摘要

摘要： 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 Fej\'er kernel, on the construction of the "humpbacked majorant" and weighted estimates of maximal functions.