TY  - JOUR
A1  - Keller, Matthias
A1  - Pinchover, Yehuda
A1  - Pogorzelski, Felix
T1  - Optimal Hardy inequalities for Schrodinger operators on graphs
JF  - Communications in mathematical physics
N2  - For a given subcritical discrete Schrodinger operator H on a weighted infinite graph X, we construct a Hardy-weight w which is optimal in the following sense. The operator H - lambda w is subcritical in X for all lambda < 1, null-critical in X for lambda = 1, and supercritical near any neighborhood of infinity in X for any lambda > 1. Our results rely on a criticality theory for Schrodinger operators on general weighted graphs.
Y1  - 2018
U6  - https://doi.org/10.1007/s00220-018-3107-y
SN  - 0010-3616
SN  - 1432-0916
VL  - 358
IS  - 2
SP  - 767
EP  - 790
PB  - Springer
CY  - New York
ER  - 
TY  - JOUR
A1  - Keller, Matthias
A1  - Pinchover, Yehuda
A1  - Pogorzelski, Felix
T1  - An improved discrete hardy inequality
JF  - The American mathematical monthly : an official publication of the Mathematical Association of America
N2  - In this note, we prove an improvement of the classical discrete Hardy inequality. Our improved Hardy-type inequality holds with a weight w which is strictly greater than the classical Hardy weight w(H)(n) : 1/(2n)(2), where N.
KW  - Primary 26D15
Y1  - 2018
U6  - https://doi.org/10.1080/00029890.2018.1420995
SN  - 0002-9890
SN  - 1930-0972
VL  - 125
IS  - 4
SP  - 347
EP  - 350
PB  - Taylor & Francis Group
CY  - Philadelphia
ER  -