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

Jorge J. Betancor, Juan C. Fariña, Lourdes Rodríguez-Mesa

We consider the Laplacian with drift in ${\mathbb{R}}^n$ defined by ${\Delta }_{\nu }={\sum }_{i=1}^n(\frac{{\partial }^2}{\partial x_i^2}+2{\nu }_i\frac{\partial }{\partial x_i})$ where $ν=(ν_1,\ldots,…