A Weighted Dispersive Estimate for Schrödinger Operators in Dimension Two
نویسندگان
چکیده
Let H = −∆+V , where V is a real valued potential on R satisfying |V (x)| . 〈x〉−3−. We prove that if zero is a regular point of the spectrum of H = −∆ + V , then ‖wePacf‖L∞(R2) . 1 |t| log(|t|) ‖wf‖L1(R2), |t| > 2, with w(x) = log(2 + |x|). This decay rate was obtained by Murata in the setting of weighted L spaces with polynomially growing weights.
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تاریخ انتشار 2012