Let be the generalized Schrödinger operator on , where is the Laplacian and is a nonnegative Radon measure on . In this article, we introduce two families of Carleson measures and generated by the heat semigroup and the Poisson semigroup , respectively. By the regularities of semigroups, we establish the Carleson measure characterizations of BMO-type spaces associated with the generalized Schrödinger operators.
"Regularities of semigroups, Carleson measures and the characterizations of BMO-type spaces associated with generalized Schrödinger operators." Banach J. Math. Anal. 13 (1) 1 - 25, January 2019. https://doi.org/10.1215/17358787-2018-0013