Estimates at or beyond endpoint in harmonic analysis: Bochner-Riesz means and spherical means

2011/03/03 by Long, Shunchao
#42B10 #42B20 #42B25 #42B35 #42B37 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1103.0616

Abstract

We introduce some new functions spaces to investigate some problems at or beyond endpoint. First, we prove that Bochner-Riesz means B_R^λ are bounded from some subspaces of L^p_|x|^α to L^p_|x|^α for (n-1)/(2(n+1))

Related

• The Bochner-Riesz means for Fourier-Bessel expansions: norm inequalities for the maximal operator and almost everywhere convergence
• Spectra of Bochner-Riesz means on L^p
• Bochner-Riesz means for the Hermite and special Hermite expansions
• L^p estimates for multilinear maximal Bochner--Riesz means and square function
• Maximal estimates for bilinear Bochner-Riesz means