Abstract
In this article, after establishing weighted Plancherel-Pôlya-type inequalities, we introduce a new class of weighted Hardy spaces $H^p_{b,w}$ by using $g$-function, where $w$ is a Muckenhoupt's weight and $b$ is a para-accretive function. Then we show the atomic decomposition and molecular characterization of $H^p_{b,w}$. As applications, we prove the boundedness of Calderón-Zygmund operators between $H^p_{b,w}$ and classical weighted Hardy spaces $H^p_w$.
Citation
Sen-Hua Lan. Chin-Cheng Lin. "WEIGHTED HARDY SPACES ASSOCIATED TO PARA-ACCRETIVE FUNCTIONS." Taiwanese J. Math. 14 (3B) 1055 - 1078, 2010. https://doi.org/10.11650/twjm/1500405905
Information