论文标题
$ l^2 \ times l^2 $上的晶格凹凸傅立叶乘数运算符上的注释
Notes on lattice bump Fourier multiplier operators on $L^2 \times L^2$
论文作者
论文摘要
给定平滑的凸起函数，我们考虑通过采用凹凸函数的翻译和相应的双线性傅立叶乘数运算符的线性组合而形成的乘数。在凹凸函数的某些条件下，我们给出了线性组合系数的完整表征，相应的双线性操作员为此定义了一个有限的操作员，从$ l^2 \ times l^2 $到$ l^2 $ l^2 $ l^2 $ - 基于AMALGAM空间。
Given a smooth bump function, we consider the multiplier formed by taking the linear combination of the translations of the bump function and the corresponding bilinear Fourier multiplier operator. Under certain condition on the bump function, we give a complete characterization of the coefficients of the linear combination for which the corresponding bilinear operator defines a bounded operator from $L^2\times L^2$ to $L^2$-based amalgam spaces.
