In this paper, we study the boundedness of variation operators and oscillation operators for certain semigroups. As applications, this theory can be applied to various settings such as Schrödinger operators, degenerate Schrödinger operators on ℝn and Schrödinger operators on Heisenberg groups and connected and simply connected nilpotent Lie groups.
|Number of pages||14|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - 2014|