Lp$L^p$‐boundedness properties for some harmonic analysis operators defined by resolvents for a Laplacian with drift in Euclidean spaces

Abstract We consider the Laplacian with drift in defined by where . This operator is self‐adjoint with respect to the locally doubling measure . We analyze the boundedness on , , of maximal operators, Littlewood–Paley functions, and variation and oscillation operators defined by the family , where and .