A Bochner integral formula defines the logarithmic Laplacian on complete Riemannian manifolds, with pointwise kernel formulas under Ricci lower bounds and sharp estimates on hyperbolic space.
Maximum principles for laplacian and fractional laplacian with critical integrability
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Logarithmic Laplacian on General Riemannian Manifolds
A Bochner integral formula defines the logarithmic Laplacian on complete Riemannian manifolds, with pointwise kernel formulas under Ricci lower bounds and sharp estimates on hyperbolic space.