Abstract

Let be a Schrödinger operator on stratified Lie groups, where is the sub‐Laplacian on and V belongs to the reverse Hölder class. In this paper, we introduce a new Campanato‐type space of vanishing mean oscillation associated with L. By Carleson measures related to fractional heat semigroups, we establish an equivalent characterization of . As an application, we prove that the dual of is , where is the completeness of .

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