Hardy spaces associated to para-accrective functions

• Main Authors: Zhe-kai chen, 陳哲楷
• Other Authors: Chin-cheng Lin
• Format: Others
• Language: en_US
• Published: 2010
• Online Access: http://ndltd.ncl.edu.tw/handle/25012365677713436176

碩士 === 國立中央大學 === 數學研究所 === 98 === In this paper, the main purpose is to claim the boundedness of the　Calderon-Zygmund operator on the Hardy spaces H^{p}_{b} associated to para-accretive functions b for frac{n}{n+varepsilon}<pleq1. We first construct the main tool in section 2, the discrete version Calderon-type reproducing formula. In section 3, we established the Hardy spaces H^{p}_{b} associated to para-accretive functions b is defined by the Little-Paley g function. Moreover, the new Hardy spaces H^{p}_{b} is well-defined by the Plancherel-Polye type inequality. Further, in last section, we show that the boundedness of the Calderon-Zygmund operator T with T^{*}(b)=0 from the classical Hardy spaces H^{p} to H^{p}_{b} for frac{n}{n+varepsilon}<pleq1.