Bochner-Riesz operators in Grand Lebesgue spaces
Functional Analysis
2020-06-04 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2006.02289,
title = {Bochner-Riesz operators in Grand Lebesgue spaces},
author = {Maria Rosaria Formica and Eugeny Ostrovsky and Leonid Sirota},
journal= {arXiv preprint arXiv:2006.02289},
year = {2020}
}