TY - JOUR AU - Zelik, Sergey AB - AbstractIn this paper, we prove refined first-order interpolation inequalities for periodic functions and give applications to various refinements of the Carlson–Landau-type inequalities and to magnetic Schrödinger operators. We also obtain Lieb–Thirring inequalities for magnetic Schrödinger operators on multi-dimensional cylinders. TI - One-Dimensional Interpolation Inequalities, Carlson–Landau Inequalities, and Magnetic Schrödinger Operators JF - International Mathematics Research Notices DO - 10.1093/imrn/rnv156 DA - 2016-01-01 UR - https://www.deepdyve.com/lp/oxford-university-press/one-dimensional-interpolation-inequalities-carlson-landau-inequalities-BKli0FO793 SP - 1190 EP - 1222 VL - 2016 IS - 4 DP - DeepDyve ER -