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• W2962927573 abstract "In this paper, we characterize the weighted local Hardy spaces $h^{p}_{rho}(omega)$ related to the critical radius function $rho$ and weights $omegain A_{infty}^{rho,infty}(mathbb{R}^{n})$ which locally behave as Muckenhoupt’s weights and actually include them, by the local vertical maximal function, the local nontangential maximal function and the atomic decomposition. Then, we establish the equivalence of the weighted local Hardy space $h^{1}_{rho}(omega)$ and the weighted Hardy space $H^{1}_{mathcal{L}}(omega)$ associated to Schrodinger operators $mathcal{L}$ with $omegain A_{1}^{rho,infty}(mathbb{R}^{n})$. By the atomic characterization, we also prove the existence of finite atomic decompositions associated with $h^{p}_{rho}(omega)$. Furthermore, we establish boundedness in $h^{p}_{rho}(omega)$ of quasi-Banach-valued sublinear operators." @default.
• W2962927573 created "2019-07-30" @default.
• W2962927573 creator A5015092874 @default.
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• W2962927573 date "2016-01-01" @default.
• W2962927573 modified "2023-09-24" @default.
• W2962927573 title "Weighted local Hardy spaces associated to Schrödinger operators" @default.
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• W2962927573 doi "https://doi.org/10.1215/ijm/1506067287" @default.
• W2962927573 hasPublicationYear "2016" @default.
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