TY - JOUR
T1 - Weighted estimates for powers and smoothing estimates of Schrödinger operators with inverse-square potentials
AU - Bui, The Anh
AU - D'Ancona, Piero
AU - Duong, Xuan Thinh
AU - Li, Ji
AU - Ly, Fu Ken
PY - 2017
Y1 - 2017
N2 - Let La be a Schrödinger operator with inverse square potential a|x|−2 on ℝd, d ≥3. The main aim of this paper is to prove weighted estimates for fractional powers of La. The proof is based on weighted Hardy inequalities and weighted inequalities for square functions associated to La. As an application, we obtain smoothing estimates regarding the propagator eitLa .
AB - Let La be a Schrödinger operator with inverse square potential a|x|−2 on ℝd, d ≥3. The main aim of this paper is to prove weighted estimates for fractional powers of La. The proof is based on weighted Hardy inequalities and weighted inequalities for square functions associated to La. As an application, we obtain smoothing estimates regarding the propagator eitLa .
KW - Inverse-square potential
KW - Littlewood–Paley theory
KW - Heat kernel estimate
KW - Negative power
KW - Smoothing estimate
UR - http://www.scopus.com/inward/record.url?scp=85006097342&partnerID=8YFLogxK
UR - http://purl.org/au-research/grants/arc/DP140100649
UR - http://purl.org/au-research/grants/arc/DP170101060
U2 - 10.1016/j.jde.2016.11.008
DO - 10.1016/j.jde.2016.11.008
M3 - Article
AN - SCOPUS:85006097342
SN - 0022-0396
VL - 262
SP - 2771
EP - 2807
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 3
ER -