Bochner–Riesz operators in grand lebesgue spaces

被引：0
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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;
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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.
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