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

Grigori Rozenblum, Eugene Shargorodsky

Research output: Working paper/PreprintPreprint

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In a domain $\Omega\subset \mathbb{R}^{\mathbf{N}}$ we consider a selfadjoint operator $\mathbf{T}=\mathfrak{A}^*P\mathfrak{A} ,$ where $\mathfrak{A}$ is a pseudodifferential operator of order $-l=-\mathbf{N}/2$ and $P=V\mu_{\Sigma}$ is a singular signed measure in $\Omega$ concentrated on a Lipschitz surface $\Sigma$ of dimension $d
Original languageUndefined/Unknown
Publication statusPublished - 30 Nov 2020


  • math.AP
  • math.FA
  • math.SP
  • 47G30 (Primary) 58J50, 35P20,

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