Bochner-Riesz operators in Grand Lebesgue spaces
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
TL;DR
This paper establishes boundedness conditions for Bochner-Riesz operators between Grand Lebesgue Spaces, provides lower bounds for associated constants, and studies convergence in Lebesgue-Riesz spaces.
Contribution
It introduces new boundedness criteria for Bochner-Riesz operators in Grand Lebesgue Spaces and analyzes their convergence properties.
Findings
Boundedness conditions for Bochner-Riesz operators in Grand Lebesgue Spaces
Lower estimates for Lebesgue-Riesz norm constants
Convergence analysis of Bochner-Riesz approximations
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.