Bochner–Riesz operators in grand lebesgue spaces

被引：0

作者：

Maria Rosaria Formica

Eugeny Ostrovsky

Leonid Sirota

机构：

[1] Università degli Studi di Napoli “Parthenope”,Department of Mathematics and Statistics

[2] Bar-Ilan University,undefined

来源：

Journal of Pseudo-Differential Operators and Applications | 2021年 / 12卷

关键词：

Bochner–Riesz operator; Lebesgue–Riesz spaces; Grand Lebesgue spaces; Fourier transform; convolution; Beckner–Brascamp–Lieb inequality; Gaussian density; Dominated convergence theorem; Bessel’s and Gamma functions; Modulus of continuity; 46E30; 44A35; 42B15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

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