A new estimate for Bochner-Riesz operators at the critical index on the weighted Hardy spaces

2011/03/09 by Wang, Hua
#42B15 #42B25 #42B30 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1103.1821

Abstract

Let w be a Muckenhoupt weight and H^p_w(\mathbb Rⁿ) be the weighted Hardy spaces. In this paper, by using the atomic decomposition of H^p_w(\mathbb Rⁿ), we will show that the Bochner-Riesz operators T^δ_R are bounded from H^p_w(\mathbb Rⁿ) to the weighted weak Hardy spaces WH^p_w(\mathbb Rⁿ) when 0

Related

• The boundedness of Bochner-Riesz operators on the weighted weak Hardy spaces
• Weighted local Hardy spaces associated to Schrödinger operators
• Riesz transform characterization of weighted Hardy spaces associated to Schrödinger operators
• Riesz transforms associated with Schrödinger operators acting on weighted Hardy spaces
• Weighted estimates for Bilinear Bochner-Riesz means at the critical index