TY - JOUR
T1 - A Weighted Dispersive Estimate for Schrödinger Operators in Dimension Two
AU - Erdoǧan, M. Burak
AU - Green, William R.
PY - 2013/5
Y1 - 2013/5
N2 - Let H = -Δ + V, where V is a real valued potential on ℝ2 satisfying {pipe}V(x){pipe}≲〈 x 〉-3-. We prove that if zero is a regular point of the spectrum of H = -Δ + V, then, with w(x) = (log(2 + {pipe}x{pipe}))2. This decay rate was obtained by Murata in the setting of weighted L2 spaces with polynomially growing weights.
AB - Let H = -Δ + V, where V is a real valued potential on ℝ2 satisfying {pipe}V(x){pipe}≲〈 x 〉-3-. We prove that if zero is a regular point of the spectrum of H = -Δ + V, then, with w(x) = (log(2 + {pipe}x{pipe}))2. This decay rate was obtained by Murata in the setting of weighted L2 spaces with polynomially growing weights.
UR - http://www.scopus.com/inward/record.url?scp=84876129469&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84876129469&partnerID=8YFLogxK
U2 - 10.1007/s00220-012-1640-7
DO - 10.1007/s00220-012-1640-7
M3 - Article
AN - SCOPUS:84876129469
SN - 0010-3616
VL - 319
SP - 791
EP - 811
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 3
ER -