Some results on weighted p-harmonic $\mathrm{\ell }$-forms on weighted manifolds

Basing on new curvature conditions for the Bochner technique of Petersen-Wrink in \cite{PW21}, in this paper, we give some vanishing properties for weighted $L^Q$ $p$-harmonic $\mathrm{\ell }$-forms on weighted manifolds, where $p>1,Q>p-1.$ These results generalize some previous theorems for $L^Q$ harmonic $\mathrm{\ell }$-forms of Dung-Dung-Hung on the paper \cite{DDH25}.