$W^{1,2}$ Bott-Chern and Dolbeault decompositions on Kähler manifolds

Riccardo Piovani

Let $(M,J,g,\omega )$ be a Kähler manifold. We prove a $W^{1,2}$ weak Bott-Chern decomposition and a $W^{1,2}$ weak Dolbeault decomposition, following the $L^2$ weak Kodaira decompositio…