Abstract
Let $L$ be a non-negative self-adjoint operator satisfying a pointwise Guassian estimate for its heat kernel. Let $w$ be some $A_s$ weight on $\mathbb{R}^n$. In this paper, we obtain a weighted $(p,q)-$atomic decomposition with $q\geq s$ for the weighted Hardy spaces $H^p_{L,w}(\mathbb{R}^n)$, $0\lt p\leq 1$. We also introduce the suitable weighted BMO spaces $BMO^p_{L,w}$. Then the duality between $H^1_{L,w}(\mathbb{R}^n)$ and $BMO_{L,w}$ is established.
Citation
Suying Liu. Kai Zhao. Shujuan Zhou. "WEIGHTED HARDY SPACES ASSOCIATED TO SELF-ADJOINT OPERATORS AND $BMO_{L,w}$." Taiwanese J. Math. 18 (5) 1663 - 1678, 2014. https://doi.org/10.11650/tjm.18.2014.3759
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