Abstract
In this paper, we generalize the A ∞ extrapolation theorem (Cruz-Uribe–Martell–Pérez, Extrapolation from A ∞ weights and applications, J. Funct. Anal. 213 (2004), 412–439) and the A p extrapolation theorem of Rubio de Francia to Schrödinger settings. In addition, we also establish weighted vector-valued inequalities for Schrödinger-type maximal operators by using weights belonging to \(A_{p}^{\rho,\infty }\) which includes A p . As applications, we establish weighted vector-valued inequalities for some Schrödinger-type operators.
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The research was supported by the NNSF (11271024) of China.
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Tang, L. Extrapolation from \(A_{\infty}^{\rho,\infty}\), vector-valued inequalities and applications in the Schrödinger settings. Ark Mat 52, 175–202 (2014). https://doi.org/10.1007/s11512-013-0192-1
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DOI: https://doi.org/10.1007/s11512-013-0192-1