论文标题
Bochner-Riesz运营商在大勒布斯格空间
Bochner-Riesz operators in Grand Lebesgue spaces
论文作者
论文摘要
我们为Bochner-Riesz操作员在两个不同的Lebesgue空间之间演奏的界限提供了条件。此外,我们获得了Bochner-Riesz运算符的Lebesgue-Riesz规范估计中出现的常数的较低估计值,并研究了Lebesgue-Riesz空间中Bochner-Riesz近似值的收敛性。
We provide the conditions for the boundedness of the Bochner-Riesz operator acting between two different Grand Lebesgue Spaces. Moreover we obtain a lower estimate for the constant appearing in the Lebesgue-Riesz norm estimation of the Bochner-Riesz operator and we investigate the convergence of the Bochner-Riesz approximation in Lebesgue-Riesz spaces.