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arXiv · 1109.0101

Extrapolation from $A_\fz^{\rho,\fz}$, vector-valued inequalities and applications in the Schr\"odinger settings

Lin Tang
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Abstract

In this paper, we generalize the $A_\fz$ extrapolation theorem in \cite{cmp} and the $A_p$ extrapolation theorem of Rubio de Francia to Schr\"odinger settings. In addition, we also establish the weighted vector-valued inequalities for Schr\"odinger type maximal operators by using weights belonging to $ A_p^{\rho,\tz}$ which includes $A_p$. As their applications, we establish the weighted vector-valued inequalities for some Sch\"odinger type operators and pseudo-differential operators.

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Lin Tang. 2011-09-01. Extrapolation from $A_\fz^{\rho,\fz}$, vector-valued inequalities and applications in the Schr\"odinger settings. https://arxiv.org/abs/1109.0101

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