摘要
Let w be a Muckenhoupt weight and Hwp (JRn) be the weighted Hardy space. In this paper, by using the atomic decomposition of Hwp(Rn), we will show that the Bochner-Riesz operators TRδ are bounded from Hwp(Rn) to the weighted weak Hardy spaces WHwp (Rn) for 0 〈 p 〈 1 and δ = n/p- (n + 1)/2. This result is new even in the unweighted case.
Let w be a Muckenhoupt weight and Hwp (JRn) be the weighted Hardy space. In this paper, by using the atomic decomposition of Hwp(Rn), we will show that the Bochner-Riesz operators TRδ are bounded from Hwp(Rn) to the weighted weak Hardy spaces WHwp (Rn) for 0 〈 p 〈 1 and δ = n/p- (n + 1)/2. This result is new even in the unweighted case.