Hankel乘子的特征
Characterizations of Hankel multipliers
摘要：
我们给出了径向傅里叶乘子作用于径向L^p-函数，1<p<2d/（d+1）的特征，根据卷积核的傅里叶局部片的勒贝格空间范数。这是一般Hankel乘子相应结果的一个特例。除了L^p-L^q界外，我们还刻画了涉及Lorentz空间的弱型不等式和中间不等式.应用程序包括乘数空间插值的结果。
英文摘要：
We give characterizations of radial Fourier multipliers as acting on radial L^p-functions, 1<p<2d/(d+1), in terms of Lebesgue space norms for Fourier localized pieces of the convolution kernel. This is a special case of corresponding results for general Hankel multipliers. Besides L^p-L^q bounds we also characterize weak type inequalities and intermediate inequalities involving Lorentz spaces. Applications include results on interpolation of multiplier spaces.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
