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

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AbstractWe 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 .