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

Formica, Maria Rosaria, Ostrovsky, Eugeny, Sirota, Leonid

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.

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