How does one show that the operator $(-\Delta_D)^{-1}\Delta$ is bounded from $L^4(\Omega)$ to itself, where $\Omega\subset\mathbb{R}^2$ is a bounded smooth domain, and $-\Delta_D$ is the Dirichlet Laplacian with homogeneous boundary.
2026-05-06 10:56:27.1778064987
$L^p$ Boundedness of Operator
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