Bochner-Riesz operators in Grand Lebesgue spaces

2020/06/02 by Formica, Maria Rosaria, Ostrovsky, Eugeny, Sirota, Leonid
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2006.02289

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.

Related

• L^p-boundedness of the Bochner-Riesz operator
• Norm estimates in Grand Lebesgue Spaces for some operators, including magic square matrices
• Improved L^p bounds for Bochner--Riesz operators associated with rough convex domains in the plane
• Classical non-linear operators in Grand Lebesgue Spaces
• Riesz's and Bessel's Operators in Bilateral Grand Lebesgue Spaces