Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case

Grigori Rozenblum, Eugene Shargorodsky

In a domain $\Omega \subset {\mathbb{R}}^{\mathbf{N}}$ we consider a selfadjoint operator $\mathbf{T}={\mathfrak{A}}^{\ast }P\mathfrak{A},$ where $\mathfrak{A}$ is a pseudodifferential operator o…